equations and models of mathematical physics; generalized functions; functions of several complex variables;manydimentional tauberian theory; p-adic analysis; number theory; numerical methods; quantum field theory.
Subject:
The first example of the form extreme and not perfect (with 6 variables) was constructed (the Voronoi hypothesis was confirmed). The boundary value problem for the transfer equation was investigated: correctness, new variational priciple, boundary conditions in the spherical harmonic method, singularity of solutions. A method for numerical solution of transfer equation for a multilayer ball was created and its convergence and stability were proved. The factorization method for numerical solution of diffusion equation for a multilayer ball was proposed and its convergence and stability were proved. Applications of the Monte Carlo method for solution the transfer equation of neutrons and radiation was developed. The quadrature formula of the Simpson type for numerical calculations of the Wiener integrals was proposed and its convergence was proved. The "C-convex hull" theorem was proved and its applications to axiomatic quantum field theory were given: the proof of dispersion relations, the "finite covariance" theorem (with N. N. Bogolubov). In papers (with N. N. Bogolubov, A. N. Tavkhelidze and B. I. Zavialov) the theoretical explanation of automodel behavior of form-factors of deep inelastic processes of lepton-hadron scattering by high energies and great momentum transfer was given on the basis of Bogolubov's axiomatic. The algebra of tempered holomorphic functions in tube domains over cone (boudary behavior, integral representations, the Fourier-transform) was investigated and were given applications to many-dimesional cojugate problems for holomorphic functions, to indicatrix of grouth of plurisubharmonic functions, to holomorphic functions with positive real part. More detailed the special case of the future tube has been considered. The many-dimensional linear passive systems with respect to a causal cone were investigated. A number of papers (with Yu. N. Drojjinov and B. I. Zavialov) were devoted to many-dimensional tauberian theorems for generalized functions. In papers (with I. V. Volovich and V. V. Zharinov) was proposed the general method of constraction conservation laws (local or not) both for linear and for nonlinear integrodiffere ntial equations. In papers with I. V. Volovich two problems of statistical physics have been investigated: the Gaussian model on semi-axis with interaction defined by the Toeplitz matrixes, and antiferromagnetic Ising model in magnetic field. The connection with the theory of orthogo nal polynomials was established, new estimates of determinants of the Toeplitz matrixes were given. Jointly with I. V. Volovich superanalysis (differential and integral calculus) was constru cted on the basis of concept of point superspace, and some applications to the supersymmet ric Yang–Mills equation were given. The Riemann–Hilbert problem of linear conjugation in the Nevanlinna and Smirnov classes and the associated Wiener–Hopf equation in class of ultradistributions were posed and solved. The $p$-adic quantum machanics for the harmonic oscillator (with I. V. Volovich and E. I. Zelenov) was formulated and studied. The pseudodifferential operator of (fractional) differentiation and integration for comp lex-valued functions of $p$-adic arguments was defined and studied. The spectral theory of the $p$-adic pseudodifferential operators of the Schroedinger type was worked out. The regularized adelic formulas for the tree string and superstring amplitudes (beta-functions) in any algebraic number field were derived, in particular, more detailed formulas has been obtained in the field of rational numbers, and in the one-class quadratic fields. Jointly with G. I. Marchuk the determination of the adjoint operator for nonlinear problems was suggested, their properties were studied and some applications were given. The new beta-function for evaluation of the tree massless superstring amplitudes was introduced and studied.
Biography
Graduated from Faculty of Mathematics an Mechanics of Leningrad State University (LSU), 1939–1941, 1945&ndash1948 (department of number theory). Ph.D. thesis was defended in 1953. D.Sc. thesis was defended in 1959. A list of my works contains about 300 titles including 9 books. Since 1969 I have been the head of the department of mathema tical physics at Steklov Mathematical institute of RAS. Since 1969 I have led the research seminar on mathe matical physics at Steklov Mathematical Institute of RAS. Since 1986 (since 1993 jointly with Ju. S. Osipov) I have led the all-institution research seminar on mathematics and its applications at Steklov Mathematical Institute of RAS.
In 1953 I was awarded Stalin preis of the USSR for realization a special assignm ent of goverment (jointly with others). In 1987 I was awarded State preis of the USSR for series of works "Development of mathematical methods in the theory of particle transfer", published in 1958–1983 (jointly with others). In 1971 I was awarded Liapounov Gold medal of Academy of Sciences of the USSR for outstanding works in mathematics and mechanics. In 1982 I was awarded the Bernarda Bolzano Gold medal of Czechoslovakian Academy of Sciences for merits in development of mathematical sciences. In 1999 I was awarded Bogolubov's Gold medal of Russian Academy of Sciences for outstanding works in mathematics, theoretical physics and mechanics. In 1997 I was awarded Bogolubov's preis of NAS of Ukraine for outstanding works in mathematics. In 1985 I was elected as a foreign member of Saxonian Academy of Sciences (Leipzig). In 1987 I was elected as a foreign member of Voyevodian Academy of Sciences and Arts (Novi Sad). In 1992 I was elected as a foreign member of Serbian Academy of Sciences and Arts (Belgrad). In 1987 I was elected as a honorary member of Czechoslovakian society of mathemati cians and physicists. In 1983 I was awarded Hero of the Socialist Labour by the Presidium of the Supreme Soviet of the USSR for the great merits in the development of the soviet science, training scientific specialists and in connection with sixtieth birthday. I was awarded by the goverment of the USSR two Lenin's orders (1975, 1983), two orders of Labour Red Banner (1967, 1973), order of the Great Pathriotic War (1985) and 14 medals.
Main publications:
Vladimirov V. S., “Chislennoe reshenie kineticheskogo uravneniya dlya shara”, Vychislitelnaya matematika, 3, 1958, 3–33
Vladimirov V. S., Volovich I. V., “Lokalnye i nelokalnye toki dlya nelineinykh uravnenii”, TMF, 62 (1985), 3–29
Vladimirov V. S., “On the Freund–Witten Adelic Formular for Veneziano Amplitudes”, Lett. Math. Phys., 27 (1993), 123–131
Vladimirov V. S., “Adelnye formuly dlya gamma- i beta-funktsii odnoklassnykh kvadratichnykh polei. Primeneniya k 4-chastichnym strunnym amplitudam”, Trudy Matem. in-ta im. V. A. Steklova, 228, 2000, 76–89
Vladimirov V. S., Uravneniya matematicheskoi fiziki, Izd. I–V, Nauka, M., 1967, 1971, 1976, 1981, 1983
V. S. Vladimirov, “Nonexistence of solutions of the $p$-adic strings”, Theoret. and Math. Phys., 174:2 (2013), 178–185
2012
2.
V. S. Vladimirov, “Scale-invariant asymptotic (automodel) behavior in quantum field theory”, Theoret. and Math. Phys., 170:1 (2012), 97–99
2011
3.
V. S. Vladimirov, “Solutions of $p$-adic string equations”, Theoret. and Math. Phys., 167:2 (2011), 539–546
4.
V. S. Vladimirov, “Mathematical questions for theory of nonlinear pseudodifferential equations with $p$-adic string”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 34–41
2010
5.
V. S. Vladimirov, “Regularized adelic formulas for string and superstring amplitudes in one-class quadratic fields”, Theoret. and Math. Phys., 164:3 (2010), 1101–1109
2009
6.
V. S. Vladimirov, “On the equations for $p$-adic closed and open strings”, P-Adic Numbers, Ultrametric Analysis, and Applications, 1:1 (2009), 79–87
V. S. Vladimirov, “On Nonlinear Equations of $p$-adic Strings for Scalar Tachyon Fields”, Proc. Steklov Inst. Math., 265 (2009), 242–261
2008
8.
V. S. Vladimirov, “N. N. Bogolyubov i simvol MF”, Mezhdunarodnaya konferentsiya po matematicheskoi fizike i ee prilozheniyam, Tezisy dokladov (Samara, 8–13 sentyabrya 2008 g.), 2008, 15–18
9.
V. S. Vladimirov, “O nelineinykh uravneniyakh otkrytykh i zamknutykh strun”, Vtoroe rossiisko-armyanskoe soveschanie po matematicheskoi fizike, kompleksnomu analizu i smezhnym voprosam, Tezisy dokladov (Moskva, MIAN, 5–11 oktyabrya 2008 g.), 2008, 21
10.
V. S. Vladimirov, “The equation of the $p$-adic closed strings for the scalar tachyon field”, Sci. China Ser. A, 51:4 (2008), 754–764
V. S. Vladimirov, “The question of the asymptotic behavior as $|t|\to\infty$ of boundary value problem solutions for $p$-adic strings”, Theoret. and Math. Phys., 157:3 (2008), 1638–1645
2006
12.
V. S. Vladimirov, “Nonlinear equations for $p$-adic open, closed, and open-closed strings”, Theoret. and Math. Phys., 149:3 (2006), 1604–1616
2005
13.
V. S. Vladimirov, V. I. Lebedev, “Yadernaya energetika i matematika”, Sovremennye problemy vychislitelnoi matematiki i matematicheskogo modelirovaniya. T. 2. Matematicheskoe modelirovanie, Nauka, M., 2005, 5–37
14.
V. I. Agoshkov, V. S. Vladimirov, I. V. Volovich, V. P. Dymnikov, V. P. Shutyaev, “Metod sopryazhennykh uravnenii i analiz slozhnykh sistem”, Sovremennye problemy vychislitelnoi matematiki i matematicheskogo modelirovaniya. T. 1. Vychislitelnaya matematika, Nauka, M., 2005, 257–342
15.
V. S. Vladimirov, “The equation of the $p$-adic open string for the scalar tachyon field”, Izv. Math., 69:3 (2005), 487–512
16.
V. S. Vladimirov, “On the non-linear equation of a $p$-adic open string for a scalar field”, Russian Math. Surveys, 60:6 (2005), 1077–1092
2004
17.
V. S. Vladimirov, “Adelic Formulas for Four-Particle String and Superstring Tree Amplitudes in One-Class Quadratic Fields”, Proc. Steklov Inst. Math., 245 (2004), 3–21
18.
V. S. Vladimirov, I. V. Volovich, “$p$-Adic Mathematical Physics”, Proc. Steklov Inst. Math., 245 (2004), 1–2
19.
V. S. Vladimirov, Ya. I. Volovich, “Nonlinear Dynamics Equation in $p$-Adic String Theory”, Theoret. and Math. Phys., 138:3 (2004), 297–309
2014
20.
V. S. Vladimirov, “Tables of integrals for complex-valued functions of p-adic arguments”, Proc. Steklov Inst. Math., 284, suppl. 2 (2014), S1–S59
2002
21.
V. S. Vladimirov, Methods of the theory of generalized functions, Analytical Methods and Special Functions, 6, Taylor & Francis, London, 2002 , xiv+311 pp.
22.
V. S. Vladimirov, “Left factorials, Bernoulli numbers, and the Kurepa conjecture”, Publ. Inst. Math. (Beograd) (N.S.), 72(86) (2002), 11–22
V. S. Vladimirov, Drozhzhinov Yu. N., Zav'yalov B. I., “Tauberian theorems for generalized functions in a scale of regularly varying functions and functionals”, Dédié à Jovan Karamata, Publ. Inst. Math. (Beograd) (N.S.), 71(85) (2002), 123–132
V. S. Vladimirov, “Beta functions of local fields of characteristic zero. Applications to string amplitudes”, Izv. Math., 66:1 (2002), 41–57
2001
25.
V. S. Vladimirov, “Conservation laws for differential equations”, Functional-analytic and complex methods, their interactions, and applications to partial differential equations (2001, Graz), World Sci. Publ., River Edge, NJ, 2001, 137–142
2000
26.
V. S. Vladimirov, Marchuk G. I., “On the determination of a conjugate operator for nonlinear problems”, Dokl. Akad. Nauk, 372:2 (2000), 165–168
Lebedev V. I., V. S. Vladimirov, “The nuclear power and mathematics”, Russian J. Numer. Anal. Math. Modelling, 15:3-4 (2000), 257–283
28.
V. S. Vladimirov, “Adelic Formulas for Gamma and Beta Functions of One-Class Quadratic Fields: Applications to 4-Particle Scattering String Amplitudes”, Proc. Steklov Inst. Math., 228 (2000), 67–80
1999
29.
V. S. Vladimirov, “Ramified Characters of Idèle Groups of One-Class Quadratic Fields”, Proc. Steklov Inst. Math., 224 (1999), 107–114
1998
30.
V. S. Vladimirov, “Some problems of analysis on the field of $p$-adic numbers”, Generalized functions—linear and nonlinear problems (Novi Sad, 1996), Integral Transform. Spec. Funct., 6:1-4 (1998), 111–121
V. S. Vladimirov, “Adelic formulas for gamma- and beta-functions in algebraic number fields”, $p$-adic functional analysis (1996, Nijmegen), Lecture Notes in Pure and Appl. Math., 192, Dekker, New York, 1997, 383–395
1996
32.
V. S. Vladimirov, “Adelic formulas for gamma and beta functions in algebraic number fields”, Dokl. Akad. Nauk, 347:1 (1996), 11–15
V. S. Vladimirov, “Conservation laws for integro-differential equations”, World Congress of Nonlinear Analysts '92, Vol. I–IV (Tampa, FL, 1992), de Gruyter, Berlin, 1996, 3069–3083
35.
V. S. Vladimirov, “Adelic formulae for the gamma and beta functions of completions of algebraic number fields, and applications of them to string amplitudes”, Izv. Math., 60:1 (1996), 67–90
36.
V. S. Vladimirov, “Adele formulas for gamma- and beta-functions in algebraic number fields”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6, 11–12
1995
37.
V. S. Vladimirov, “$p$-adic numbers in mathematical physics”, Advanced mathematics: computations and applications (Novosibirsk, 1995), NCC Publ., Novosibirsk, 1995, 128–141
1994
38.
V. S. Vladimirov, “Some applications of $p$-adic numbers in mathematical physics”, Interface between physics and mathematics (1993, Hangzhou), World Sci. Publ., River Edge, NJ, 1994, 224–231
39.
V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, $p$-adicheskii analiz i matematicheskaya fizika, Nauka, M., 1994 , 352 pp.
40.
V. S. Vladimirov, I. V. Volovich, Zelenov E. I., $p$-adic analysis and mathematical physics, Series on Soviet and East European Mathematics, 1, World Scientific Publishing Co. Inc., River Edge, NJ, 1994 , xx+319 pp.
41.
V. S. Vladimirov, V. V. Zharinov, A. G. Sergeev, “Bogolyubov's “edge of the wedge” theorem, its development and applications”, Russian Math. Surveys, 49:5 (1994), 51–65
1993
42.
V. S. Vladimirov, “Some applications of $p$-adic numbers in mathematical physics”, Continuum mechanics and related problems of analysis (Tbilisi, 1991), “Metsniereba”, Tbilisi, 1993, 321–329
43.
Phys. Dokl., 38:12 (1993), 486–489 (1994)
44.
V. S. Vladimirov, “On the Freund-Witten adelic formula for Veneziano amplitudes”, Lett. Math. Phys., 27:2 (1993), 123–131
V. S. Vladimirov, “Freund–Witten adelic formulae for Veneziano and Virasoro–Shapiro amplitudes”, Russian Math. Surveys, 48:6 (1993), 1–39
46.
V. S. Vladimirov, “Derivation of Freund–Witten adelic formula for four-point Veneziano amplitudes”, Theoret. and Math. Phys., 94:3 (1993), 251–259
1992
47.
V. S. Vladimirov, A. A. Logunov, “In memory of Nikolai Nikolaevich Bogolyubov (08.21.1909–02.13.1992)”, Theoret. and Math. Phys., 92:2 (1992), 817–819
1993
48.
V. S. Vladimirov, “On spectral properties of $p$-adic pseudodifferential operators of Schrödinger type”, Russian Acad. Sci. Izv. Math., 41:1 (1993), 55–73
1991
49.
V. S. Vladimirov, Karatsuba A. A., Shafarevich I. R., “On the centennial of the birth of Academician I. M. Vinogradov”, Vestnik Akad. Nauk SSSR, 1991, no. 9, 91–103
50.
V. S. Vladimirov, Drozzinov Yu. N., Zavialov B. I., “Tauberian theorems for distributions”, International Symposium in Memory of Hua Loo Keng, Vol. II (Beijing, 1988), Springer, Berlin, 1991, 301–311
51.
V. S. Vladimirov, “The memory of Ivan Matveevitch Vinogradov”, Number theory, algebra, analysis and their applications, Collection of articles. Dedicated to the centenary of Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklov., 200, Nauka, Moscow, 1991, 3
1993
52.
V. S. Vladimirov, I. V. Volovich, “Application of $p$-adic numbers to mathematical physics”, Proc. Steklov Inst. Math., 200 (1993), 97–109
1990
53.
V. S. Vladimirov, “An application of $p$-adic numbers in quantum mechanics”, Selected topics in statistical mechanics (1989, Dubna), World Sci. Publ., Teaneck, NJ, 1990, 282–297
54.
V. S. Vladimirov, Drožžinov Yu. N., Zavialov B. I., “Multi-dimensional Tauberian theorems for distributions”, Generalized functions and convergence (1988, Katowice), World Sci. Publ., Teaneck, NJ, 1990, 265–277
55.
V. S. Vladimirov, I. V. Volovich, “Construction of local and nonlocal conservation laws for nonlinear field equations”, Ann. Physik (7), 47:2-3 (1990), 228–238
V. S. Vladimirov, “On the spectrum of some pseudodifferential operators over the field of $p$-adic numbers”, Leningrad Math. J., 2:6 (1991), 1261–1278
58.
V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, “Spectral theory in $p$-adic quantum mechanics, and representation theory”, Math. USSR-Izv., 36:2 (1991), 281–309
1993
59.
J. Soviet Math., 63:2 (1993), 149–158
1989
60.
V. S. Vladimirov, I. V. Volovich, “$p$-adic Schrödinger-type equation”, Lett. Math. Phys., 18:1 (1989), 43–53
V. S. Vladimirov, I. V. Volovich, “Boundary value problems for nonlinear equations of a relativistic string”, Functional and numerical methods in mathematical physics (Russian), “Naukova Dumka”, Kiev, 1988, 48–53, 264
64.
V. S. Vladimirov, “Conservation laws for two-dimensional completely integrable systems and the small-parameter method”, Functional and numerical methods in mathematical physics (Russian), “Naukova Dumka”, Kiev, 1988, 40–48, 263
65.
V. S. Vladimirov, “The Wiener-Hopf equation in the Nevanlinna and Smirnov algebras and ultra-distributions”, Generalized functions, convergence structures, and their applications (Dubrovnik, 1987), Plenum, New York, 1988, 83–96
V. S. Vladimirov, Yu. N. Drozzinov, B. I. Zavialov, Tauberian theorems for generalized functions, Mathematics and its Applications (Soviet Series), 10, Kluwer Academic Publishers Group, Dordrecht, 1988 , xvi+293 pp.
68.
V. S. Vladimirov, “Generalized functions over the field of $p$-adic numbers”, Russian Math. Surveys, 43:5 (1988), 19–64
1987
69.
V. S. Vladimirov, “Application of the small parameter method to obtain conservation laws for two-dimensional completely integrable systems”, Current problems in mathematical physics (Tbilisi, 1987), Vol. I, Tbilis. Gos. Univ., Tbilisi, 1987, 19–34
70.
V. S. Vladimirov, “The Wiener-Hopf equation on the half-axis in Nevanlinna and Smirnov algebras”, Dokl. Akad. Nauk SSSR, 293:2 (1987), 278–283
V. S. Vladimirov, “The Wiener–Hopf equation in Nevanlinna and Smirnov algebras”, Math. USSR-Izv., 31:1 (1988), 77–94
1986
72.
V. S. Vladimirov, Yu. N. Drozhzhinov, B. I. Zavyalov, Mnogomernye tauberovy teoremy dlya obobschennykh funktsii, Nauka, M., 1986 , 304 pp.
73.
V. S. Vladimirov, I. V. Volovich, “Boundary value problems for nonlinear equations of a relativistic string”, Dokl. Akad. Nauk SSSR, 289:5 (1986), 1043–1047
V. S. Vladimirov, Yu. N. Drozhzhinov, B. I. Zavialov, “Tauberian theorems for generalized functions and their applications”, Proc. Steklov Inst. Math., 175 (1988), 107–116
75.
O. I. Bogoyavlenskii, V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, V. P. Mikhailov, “Boundary value problems of mathematical physics”, Proc. Steklov Inst. Math., 175 (1988), 65–105
76.
V. S. Vladimirov, V. V. Zharinov, “Analytic methods in mathematical physics”, Proc. Steklov Inst. Math., 175 (1988), 117–138
1985
77.
V. S. Vladimirov, Sergeev A. G., “Compactification of Minkowski space and complex analysis in the future tube”, Ann. Polon. Math., 46 (1985), 439–454
V. S. Vladimirov, I. V. Volovich, “Conservation laws for nonlinear equations”, Current problems in numerical mathematics and mathematical modeling, “Nauka” Sibirsk. Otdel., Novosibirsk, 1985, 147–162, 262
79.
V. S. Vladimirov, I. V. Volovich, “On the definition of an integral in superspace”, Dokl. Akad. Nauk SSSR, 285:5 (1985), 1042–1044
V. S. Vladimirov, A. G. Sergeev, “Complex analysis in the future tube”, Complex analysis—several variables – 2, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 8, VINITI, Moscow, 1985, 191–266
82.
V. S. Vladimirov, I. V. Volovich, “Conservation laws for non-linear equations”, Russian Math. Surveys, 40:4 (1985), 13–24
83.
V. S. Vladimirov, I. V. Volovich, “Local and nonlocal currents for nonlinear equations”, Theoret. and Math. Phys., 62:1 (1985), 1–20
1984
84.
V. S. Vladimirov, Drozzinov Yu. N., Zavialov B. I., “Tauberian theorems for distributions”, Complex analysis and applications '81 (1981, Varna), Publ. House Bulgar. Acad. Sci., Sofia, 1984, 524–532
85.
V. S. Vladimirov, I. V. Volovich, “Conservation laws for nonlinear equations”, Dokl. Akad. Nauk SSSR, 279:4 (1984), 843–847
V. S. Vladimirov, “The Blaschke product in the “generalized unit disc” and a complete orthonormal system in the future tube”, Proc. Steklov Inst. Math., 166 (1986), 45–52
1985
89.
V. S. Vladimirov, Yu. N. Drozhzhinov, B. I. Zavialov, “Theorems of Tauberian type for generalized functions”, Proc. Steklov Inst. Math., 163 (1985), 53–60
1984
90.
V. S. Vladimirov, I. V. Volovich, “Superanalysis. II. Integral calculus”, Theoret. and Math. Phys., 60:2 (1984), 743–765
91.
V. S. Vladimirov, I. V. Volovich, “Differential calculus”, Theoret. and Math. Phys., 59:1 (1984), 317–335
1983
92.
V. S. Vladimirov, I. V. Volovich, “Superanalysis. Differential calculus”, Dokl. Akad. Nauk SSSR, 273:1 (1983), 26–31
V.S. Vladimirov, I.I. Markush, Academician Steklov: mathematician extraordinary, Translated from the Russian by C. A. Hainsworth and R. N. Hainsworth, Outstanding Soviet Scientists, “Mir”, Moscow, 1983 , 126 pp.
94.
V. S. Vladimirov, I. V. Volovich, “A statistical physics model”, Theoret. and Math. Phys., 54:1 (1983), 1–12
1982
95.
V. S. Vladimirov, I. V. Volovich, “The Wiener-Hopf equation, the Riemann-Hilbert problem and orthogonal polynomials”, Dokl. Akad. Nauk SSSR, 266:4 (1982), 788–792
V. S. Vladimirov, I. V. Volovich, “Ising model with magnetic field and the diophantine moment problem”, Theoret. and Math. Phys., 53:1 (1982), 943–952
98.
V. S. Vladimirov, B. I. Zavialov, “Self-similar asymptotic behavior of causal functions and their behavior on the light cone”, Theoret. and Math. Phys., 50:2 (1982), 105–126
1981
99.
V. S. Vladimirov, B. I. Zav'yalov, “Self-similar asymptotic behavior and behavior on a light cone in quantum field theory”, Dokl. Akad. Nauk SSSR, 258:4 (1981), 842–846
100.
V. S. Vladimirov, Drozhzhinov Yu. N., Zav'yalov B. I., “Tauber-type theorems for generalized functions”, Generalized functions and their applications in mathematical physics (1980, Moscow), Akad. Nauk SSSR Vychisl. Tsentr, Moscow, 1981, 125–134
1980
101.
V. S. Vladimirov, Žarinov V. V., “Closed forms associated with linear differential operators”, Differentsial'nye Uravneniya, 16:5 (1980), 845–867, 956
V. S. Vladimirov, B. I. Zav'yalov, “Tauberian theorems in quantum field theory”, J. Soviet Math., 16:6 (1981), 1487–1509
1979
103.
V. S. Vladimirov, B. I. Zavialov, “Tauberian theorems in quantum field theory”, Theoret. and Math. Phys., 40:2 (1979), 660–677
1978
104.
V. S. Vladimirov, “Estimation of the boundary values of the growth of nonnegative pluriharmonic functions in a tube domain over a skew cone”, Complex analysis and its applications (Russian), “Nauka”, Moscow, 1978, 137–148, 665
105.
V. S. Vladimirov, “Holomorphic functions with a nonnegative imaginary part in tubular domains over cones”, Dokl. Akad. Nauk SSSR, 239:1 (1978), 26–29
1977
106.
V. S. Vladimirov, “Functions of several complex variables in mathematical physics”, Komplexe Analysis und ihre Anwendung auf partielle Differentialgleichungen (Tagung, Martin-Luther-Universität, Halle, 1976), Wiss. Beitr. Martin-Luther-Univ. Halle-Wittenberg M, 27 (1977), 71–75
107.
V. S. Vladimirov, “Holomorphic functions with positive imaginary part in the future tube. IV”, Math. USSR-Sb., 33:3 (1977), 301–325
1976
108.
V. S. Vladimirov, “Holomorphic functions of several complex variables with non-negative imaginary part and some applications”, Complex analysis and its applications, Lectures, Internat. Sem. (Trieste, 1975), Vol. III, Internat. Atomic Energy Agency, Vienna, 1976, 259–287
109.
Vladimirov V., Mikhaĭlov V., Chabounine M., Karimova Kh., Sidorov Y., Vacharine A., Recueil de problèmes d'équations de physique mathématique, Traduit du russe par Irina Pétrova, Mir, Moscow, 1976 , 264 pp.
110.
V. S. Vladimirov, “Multidimensional generalization of a Tauberian theorem of Hardy and Littlewood”, Math. USSR-Izv., 10:5 (1976), 1031–1048
1975
111.
V. S. Vladimirov, “Holomorphic functions with a nonnegative imaginary part in the future tube”, International Symposium on Mathematical Problems in Theoretical Physics (1975, Kyoto Univ., Kyoto), Springer, Berlin, 1975, 281–282. Lecture Notes in Phys., 39
112.
V. S. Vladimirov, M. K. Polivanov, “Development of the axiomatic method in quantum field theory”, Vestnik Akad. Nauk SSSR, 1975, no. 1, 7–12
113.
V. S. Vladimirov, “Holomorphic functions with positive imaginary part in the future tube. III”, Math. USSR-Sb., 27:2 (1975), 263–268
114.
N. N. Bogolyubov, V. S. Vladimirov, A. N. Tavkhelidze, “On automodel asymptotic in quantum field theory”, Mezhdunarodnaya konferentsiya po matematicheskim problemam kvantovoi teorii polya i kvantovoi statistiki. Chast I. Aksiomaticheskaya kvantovaya teoriya polya, Sbornik dokladov (Moskva, 12–17 dekabrya 1972), Tr. MIAN SSSR, 135, 1975, 26–53
V. S. Vladimirov, “Analytic functions of several complex variables, and quantum field theory”, International Conference on Mathematical Problems of Quantum Field Theory and Quantum Statistics. Part I. Axiomatic quantum field theory, Collection of talks (Moscow, 12–17 December, 1972), Trudy Mat. Inst. Steklov., 135, 1975, 68–80
1974
116.
V. S. Vladimirov, “The Laplace transform of tempered distributions”, Global analysis and its applications, Lectures, Internat. Sem. Course (Internat. Centre Theoret. Phys., Trieste, 1972), Vol. III, Internat. Atomic Energy Agency, Vienna, 1974, 243–270
117.
V. S. Vladimirov, Yu. N. Drozhzhinov, “Holonomic functions in a polycircle with nonnegative imaginary part”, Math. Notes, 15:1 (1974), 31–34
118.
V. S. Vladimirov, “Holomorphic functions with positive imaginary part in the future tube. II”, Math. USSR-Sb., 23:4 (1974), 467–482
119.
V. S. Vladimirov, “Holomorphic functions with positive imaginary part in the future tube”, Math. USSR-Sb., 22:1 (1974), 1–16
1975
120.
V. S. Vladimirov, “The Laplace transform of generalized functions of slow growth”, J. Soviet Math., 3:2 (1975), 198–216
1972
121.
V. S. Vladimirov, “Multidimensional passive linear systems”, Continuum mechanics and related problems of analysis (on the occasion of the eightieth birthday of Academician N. I. Mushelišvili) (Russian), Izdat. “Nauka”, Moscow, 1972, 121–134
122.
V. S. Vladimirov, “On Cauchy–Bochner representations”, Math. USSR-Izv., 6:3 (1972), 529–535
123.
N. N. Bogolyubov, V. S. Vladimirov, A. N. Tavkhelidze, “On scaling asymptotics in quantum field theory. II”, Theoret. and Math. Phys., 12:3 (1972), 839–858
124.
N. N. Bogolyubov, V. S. Vladimirov, A. N. Tavkhelidze, “On scaling asymptotics in quantum field theory. I”, Theoret. and Math. Phys., 12:1 (1972), 619–629
1971
125.
N. N. Bogolyubov, V. S. Vladimirov, “Representations of $n$-point functions”, Proc. Steklov Inst. Math., 112 (1971), 1–18
1970
126.
V. S. Vladimirov, “A note concerning passive linear systems”, Math. Notes, 8:2 (1970), 618–621
127.
V. S. Vladimirov, V. V. Zharinov, “On a representation of the Jost–Lehmann–Dyson type”, Theoret. and Math. Phys., 3:3 (1970), 525–536
1969
128.
V. S. Vladimirov, “Generalization of the Cauchy–Bochner integral representation”, Math. USSR-Izv., 3:1 (1969), 87–104
129.
V. S. Vladimirov, “Holomorphic functions with nonnegative imaginary part in a tubular domain over a cone”, Math. USSR-Sb., 8:1 (1969), 125–146
130.
V. S. Vladimirov, “Linear passive systems”, Theoret. and Math. Phys., 1:1 (1969), 51–72
131.
V. S. Vladimirov, “On the theory of linear passive systems”, Dokl. Akad. Nauk SSSR, 186:6 (1969), 1246–1249
1968
132.
V. S. Vladimirov, “Generalized functions whose supports are bounded outside a convex acute cone”, Siberian Math. J., 9:5 (1968), 930–937
133.
V. S. Vladimirov, “Singularities in the solution of the transport equation”, Ž. Vyčisl. Mat. i Mat. Fiz., 8 (1968), 842–852
134.
V. S. Vladimirov, “Singularities of the solution of the transport equation”, U.S.S.R. Comput. Math. Math. Phys., 8:4 (1968), 189–202
1967
135.
V. S. Vladimirov, Les fonctions de plusieurs variables complexes et leur application à la théorie quantique des champs, Travaux et Recherches Mathématiques, 14, Dunod, Paris, 1967 , xv+338 pp.
136.
V. Vladimirov, V. Matveev, “Queueing systems with priority and “warming up””, Comput. Methods Programming, VI (Russian), Izdat. Moskov. Univ., Moscow, 1967, 259–271
137.
V. S. Vladimirov, Yu. N. Drozhzhinov, “Generalized Cauchy problem for an ultraparabolic equation”, Math. USSR-Izv., 1:6 (1967), 1285–1303
138.
V. S. Vladimirov, “Plurisubharmonic functions in tubular radial domains. II”, Math. USSR-Izv., 1:1 (1967), 95–112
139.
V. S. Vladimirov, “Convex homogeneous functions – growth indicatrices of holomorphic functions”, Math. Notes, 2:2 (1967), 583–587
140.
V. S. Vladimirov, “Legendre transformation of convex functions”, Math. Notes, 1:6 (1967), 448–452
1966
141.
V. S. Vladimirov, “Linear conjugacy problem of holomorphic functions of several complex variables”, Contemporary Problems in Theory Anal. Functions (Erevan, 1965), Izdat. “Nauka”, Moscow, 1966, 64–68
142.
V. S. Vladimirov, Methods of the theory of functions of many complex variables, The M.I.T. Press, Cambridge, Mass.–London, 1966 , xii+353 pp.
1965
143.
V. S. Vladimirov, “On plurisubharmonic functions in tubular radial regions”, Izv. Akad. Nauk SSSR Ser. Mat., 29:5 (1965), 1123–1146
144.
V. S. Vladimirov, “The problem of linear conjugates for holomorphic functions of several variables”, Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965), 807–834
1964
145.
V. S. Vladimirov, Methods in the theory of functions of several complex variables, Izdat. “Nauka”, Moscow, 1964 , 411 pp.
1963
146.
V. S. Vladimirov, “An application of properties of domains of holomorphy to differential equations”, Studia Math. (Ser. Specjalna) Zeszyt, 1 (1963), 133–135
147.
V. S. Vladimirov, “Functions which are holomorphic in tubular cones”, Izv. Akad. Nauk SSSR Ser. Mat., 27:1 (1963), 75–100
148.
V. S. Vladimirov, M. Širinbekov, “On the construction of envelopes of holomorphy for Hartogs domains”, Ukrain. Mat. Z̆., 15:2 (1963), 189–192
1962
149.
V. S. Vladimirov, “On Bogoljubov's “edge of the wedge” theorem”, Izv. Akad. Nauk SSSR Ser. Mat., 26:6 (1962), 825–838
1961
150.
V. S. Vladimirov, “Some variational methods for the approximate solution of the transport equation”, Vyčisl. Mat., 7, Moscow, 1961, 95–114
151.
V. S. Vladimirov, V. F. Nikitin, “On the integral representation of Jost, Lehmann, and Dyson”, Soviet Physics Dokl., 6 (1961), 463–465
152.
V. S. Vladimirov, “A generalization of Liouville's theorem”, Collection of articles. Dedicated to Academician I. M. Vinogradov on his 70th birthday, Trudy Mat. Inst. Steklov., 64, Acad. Sci. USSR, Moscow, 1961, 9–27
153.
V. S. Vladimirov, “Mathematical problems of the uniform-speed theory of transport”, Trudy Mat. Inst. Steklov., 61, Acad. Sci. USSR, Moscow, 1961, 3–158 , 160 pp.
154.
V. S. Vladimirov, “Construction of envelopes of holomorphy for regions of a special type and their application”, Collection of articles. To the 60th anniversary of academician Mikhail Alekseevich Lavrent'ev, Trudy Mat. Inst. Steklov., 60, Acad. Sci. USSR, Moscow, 1961, 101–144
1960
155.
N. N. Bogoljubov, V. S. Vladimirov, “Analytic continuation of generalized functions”, Issledovanija po sovremennym problemam teorii funkciĭ kompleksnogo peremennogo, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1960, 535–536
156.
V. S. Vladimirov, “Properties of regions of holomorphy as applied to the study of solutions of differential equations”, Soviet Math. Dokl., 1 (1960), 1092–1094
157.
V. S. Vladimirov, “Construction of envelopes of holomorphy for a special kind of region.”, Soviet Math. Dokl., 1 (1960), 1039–1042
158.
V. S. Vladimirov, “Boundary conditions in the method of spherical harmonics”, Soviet Physics. Dokl., 5 (1960), 1210–1213
159.
N. N. Bogoljubov, V. S. Vladimirov, “On some mathematical problems of quantum field theory”, Proc. Internat. Congress Math. 1958, Cambridge Univ. Press, New York, 1960, 19–32
160.
V. S. Vladimirov, “The approximate evaluation of Wiener integrals”, Uspekhi Mat. Nauk, 15:4(94) (1960), 129–135
1959
161.
V. S. Vladimirov, A. A. Logunov, “On analytic properties of generalized functions of quantum field theory”, Izv. Akad. Nauk SSSR Ser. Mat., 23:5 (1959), 661–676
162.
V. S. Vladimirov, “Determination of a region of analyticity”, Izv. Akad. Nauk SSSR Ser. Mat., 23:2 (1959), 275–294
1958
163.
V. S. Vladimirov, I. M. Sobol', “Computation of the least eigenvalue of the Peierls equation by the Monte Carlo method”, Vyčisl. Mat., 3, Moscow, 1958, 130–137
164.
V. S. Vladimirov, “Numerical solution of the kinetic equation for the sphere”, Vyčisl. Mat., 3, Moscow, 1958, 3–33
165.
V. S. Vladimirov, “Equation of transport of particles”, Izv. Akad. Nauk SSSR Ser. Mat., 22:4 (1958), 475–490
166.
N. N. Bogolyubov, V. S. Vladimirov, “On analytic continuation of generalized functions”, Izv. Akad. Nauk SSSR Ser. Mat., 22:1 (1958), 15–48
167.
V. S. Vladimirov, “On perfect forms in six variables”, Mat. Sb. (N.S.), 44(86):2 (1958), 263–272
1957
168.
V. S. Vladimirov, “On the integro-differential equation of particle transport”, Izv. Akad. Nauk SSSR Ser. Mat., 21:5 (1957), 681–710
169.
V. S. Vladimirov, “On a certain integro-differential equation”, Izv. Akad. Nauk SSSR Ser. Mat., 21:1 (1957), 3–52
1956
170.
V. S. Vladimirov, “Monte Carlo Methods as Applied to The Calculation of The Lowest Eigenvalue and the Associated Eigen-Function of a Linear Integral Equation”, Theory Probab. Appl., 1:1 (1956), 101–116
171.
V. S. Vladimirov, “Ob odnom integro-differentsialnom uravnenii”, Trudy Tretego Vsesoyuznogo matematicheskogo s'ezda (Moskva, 1956), v. 1, Sektsionnye doklady, M., 1956, 218–219
1955
172.
V. S. Vladimirov, “Approximate solution of a boundary problem for a differential equation of second order”, Prikl. Mat. Meh., 19 (1955), 315–324
V. S. Vladimirov, Tables of Integrals of Complex-Valued Functions of $p$-Adic Arguments, Sovrem. Probl. Mat., 2, 2003, 90 с. http://mi.mathnet.ru/book475
A. A. Dezin, Differential operator equations. A method of model operators in the theory of boundary value problems, Trudy Mat. Inst. Steklova, 229, ed. V. S. Vladimirov, E. F. Mishchenko, 2000, 176 с. http://mi.mathnet.ru/book242
Problems of the modern mathematical physics, Collection of papers dedicated to the 90th anniversary of academician Nikolai Nikolaevich Bogolyubov, Trudy Mat. Inst. Steklova, 228, ed. V. S. Vladimirov, E. F. Mishchenko, 2000, 319 с. http://mi.mathnet.ru/book241
Number theory, algebra, analysis and their applications, Collection of articles. Dedicated to the centenary of Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklov., 200, ed. E. F. Mishchenko, V. S. Vladimirov, 1991, 344 с. http://mi.mathnet.ru/book1107
Theoretical and mathematical physics, Collection of survey papers 3. On the 50th anniversary of the Institute, Trudy Mat. Inst. Steklov., 175, ed. S. M. Nikol'skii, V. S. Vladimirov, 1986, 248 с. http://mi.mathnet.ru/book1162
International Conference on Mathematical Problems of Quantum Field Theory and Quantum Statistics. Part I. Axiomatic quantum field theory, Collection of talks (Moscow, 12–17 December, 1972), Trudy Mat. Inst. Steklov., 135, ed. V. S. Vladimirov, 1975, 264 с. http://mi.mathnet.ru/book1207
International Conference on Mathematical Problems of Quantum Field Theory and Quantum Statistics. Part II. Fields and Particles. Mathematical Questions of Quant, Collection of talks (Moscow, 12–17 December, 1972), Trudy Mat. Inst. Steklov., 136, ed. V. S. Vladimirov, S. M. Nikol'skii, 1975, 444 с. http://mi.mathnet.ru/book1206
V. S. Vladimirov, Mathematical problems of the uniform-speed theory of transport, Trudy Mat. Inst. Steklov., 61, 1961, 160 с. http://mi.mathnet.ru/book1117
2013
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