01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
4.01.1942
E-mail:
Keywords:
complex analysis,
hyperfunctions,
integral representations,
algebraic and geometric methods in partial differential equations,
mathematical methods in quantum theory.
Subject:
algebraic and geometric methods in partial differential equations,
mathematical methods in quantum theory.
Main publications:
Zharinov V. V., “Distributivnye struktury i ikh prilozheniya v kompleksnom analize”, Trudy MIAN, 162, 1983, 3–81
Zharinov V. V., Lecture notes on geometrical aspects of partial differential equations, World Scientific, Singapore, 1992
Vladimirov V. S., Zharinov V. V., Uravneniya matematicheskoi fiziki, Nauka, Moskva, 2000
V. V. Zharinov, “Navier–Stokes equations, the algebraic aspect”, Theoret. and Math. Phys., 209:3 (2021), 1657–1672
2020
4.
V. V. Zharinov, “Algebra of gauge theories”, Theoret. and Math. Phys., 203:2 (2020), 584–595
5.
V. V. Zharinov, “Binary relations, Bäcklund transformations, and wave packet propagation”, Theoret. and Math. Phys., 205:1 (2020), 1245–1264
2019
6.
V. V. Zharinov, “Hamiltonian operators with zero-divergence constraints”, Theoret. and Math. Phys., 200:1 (2019), 923–937
7.
V. V. Zharinov, “Analysis in Noncommutative Algebras and Modules”, Proc. Steklov Inst. Math., 306 (2019), 90–101
2018
8.
V. V. Zharinov, “Analysis in Algebras and Modules”, Proc. Steklov Inst. Math., 301 (2018), 98–108
9.
V. V. Zharinov, “Analysis in differential algebras and modules”, Theoret. and Math. Phys., 196:1 (2018), 939–956
2017
10.
V. V. Zharinov, “Lie–Poisson structures over differential algebras”, Theoret. and Math. Phys., 192:3 (2017), 1337–1349
11.
V. V. Zharinov, “Hamiltonian operators in differential algebras”, Theoret. and Math. Phys., 193:3 (2017), 1725–1736
2016
12.
V. V. Zharinov, “Bäcklund transformations”, Theoret. and Math. Phys., 189:3 (2016), 1681–1692
2015
13.
V. V. Zharinov, “Conservation laws, differential identities, and constraints of partial differential equations”, Theoret. and Math. Phys., 185:2 (2015), 1557–1581
2014
14.
V. V. Zharinov, “A model of relativistic dynamics”, Proc. Steklov Inst. Math., 285 (2014), 120–131
15.
V. V. Zharinov, “Algebraic aspects of gauge theories”, Theoret. and Math. Phys., 180:2 (2014), 942–957
2013
16.
V. V. Zharinov, “The formal de Rham complex”, Theoret. and Math. Phys., 174:2 (2013), 220–235
2012
17.
V. V. Zharinov, “Cohomologies of spaces of Schwartz test functions”, Theoret. and Math. Phys., 170:3 (2012), 263–273
18.
V. V. Zharinov, “Cohomologies of spaces of Schwartz distributions”, Theoret. and Math. Phys., 172:1 (2012), 879–884
2011
19.
V. V. Zharinov, “Symmetries and conservation laws of difference equations”, Theoret. and Math. Phys., 168:2 (2011), 1019–1034
2010
20.
V. V. Zharinov, “Evolution systems with constraints in the form of zero-divergence conditions”, Theoret. and Math. Phys., 163:1 (2010), 401–413
21.
V. V. Zharinov, “A differential-difference bicomplex”, Theoret. and Math. Phys., 165:2 (2010), 1401–1420
2009
22.
V. V. Zharinov, “Green's formula for difference operators”, Theoret. and Math. Phys., 161:2 (2009), 1445–1450
23.
V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zav'yalov, V. A. Il'in, G. I. Marchuk, V. P. Mikhailov, E. I. Moiseev, S. M. Nikol'skii, B. V. Pal'tsev, “Aleksei Alekseevich Dezin (obituary)”, Russian Math. Surveys, 64:3 (2009), 553–560
2008
24.
V. V. Zharinov, “Operatsionnoe ischislenie v differentsialnykh algebrakh”, Mezhdunarodnaya konferentsiya po matematicheskoi fizike i ee prilozheniyam, Tezisy dokladov (Samara, 8–13 sentyabrya 2008 g.), 2008, 71–72
25.
V. V. Zharinov, “Simmetrii i zakony sokhraneniya evodyutsionnykh sistem na reshetke”, Vtoroe rossiisko-armyanskoe soveschanie po matematicheskoi fizike, kompleksnomu analizu i smezhnym voprosam, Tezisy dokladov (Moskva, MIAN, 5–11 oktyabrya 2008 g.), 2008, 39–40
26.
V. V. Zharinov, “Algebraic and geometric foundation of mathematical physics”, Lekts. Kursy NOC, 9, Steklov Math. Inst., RAS, Moscow, 2008, 3–209 , 210 pp.
27.
V. V. Zharinov, “Evolution systems on a lattice”, Theoret. and Math. Phys., 157:3 (2008), 1694–1706
2006
28.
V. V. Zharinov, “Bäcklund correspondences for evolution equations in a multidimensional space”, Theoret. and Math. Phys., 147:1 (2006), 449–459
2005
29.
V. V. Zharinov, “Hochschild Cohomology of the Algebra of Smooth Functions on the Torus”, Theoret. and Math. Phys., 144:3 (2005), 1247–1263
2004
30.
V. V. Zharinov, “Hochschild Cohomologies of the Algebra of Smooth Functions”, Theoret. and Math. Phys., 140:3 (2004), 1195–1204
2003
31.
V. V. Zharinov, “Cohomology of a Poisson Algebra”, Theoret. and Math. Phys., 136:2 (2003), 1049–1065
2001
32.
V. V. Zharinov, “Cohomologies of the Lie Algebra of Vector Fields on a Line”, Theoret. and Math. Phys., 128:2 (2001), 957–968
2000
33.
V. V. Zharinov, “On the Cohomologies of the Heisenberg Algebras”, Proc. Steklov Inst. Math., 228 (2000), 52–66
34.
V. S. Vladimirov, V. V. Zharinov, Uravneniya matematicheskoi fiziki, Fizmatlit, M., 2000 , 61 pp.
1999
35.
V. V. Zharinov, “On derivations of the Heisenberg algebra”, Theoret. and Math. Phys., 118:2 (1999), 129–151
1998
36.
V. V. Zharinov, “Operational calculus in differential algebras”, Integral Transform. Spec. Funct., 7:1-2 (1998), 145–158
V. V. Zharinov, “Algebraic constructions in generalized functions”, Generalized functions—linear and nonlinear problems (Novi Sad, 1996), Integral Transform. Spec. Funct., 6, no. 1-4, 1998, 347–356
V. V. Zharinov, “Secondary operational calculus”, The International Conference on Secondary Calculus and Cohomological Physics (Moscow, 1997), Diffiety Inst. Russ. Acad. Nat. Sci., Pereslavl' Zalesskiy, 1997 , 12 pp. (electronic)
1996
39.
V. V. Zharinov, “On differentiations in differential algebras”, Proceedings of the conference “Different Aspects of Differentiability”, II (Warsaw, 1995), Integral Transform. Spec. Funct., 4, no. 1-2, 1996, 163–180
V. V. Zharinov, “Convolution algebras of sequences”, Different aspects of differentiability (Warsaw, 1993), Dissertationes Math. (Rozprawy Mat.), 340, 1995, 337–342
1994
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
1995
42.
Proc. Steklov Inst. Math., 203 (1995), 391–402
1993
43.
V. V. Zharinov, “Hyperfunctions and analytic functionals”, CWI Quarterly, 6:4 (1993), 317–333
1994
44.
V. V. Zharinov, “On spectral sequences of evolution systems with constraints”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 33–45
1993
45.
A. A. Logunov, A. A. Slavnov, O. I. Zavialov, O. A. Khrustalev, V. P. Mikhailov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavialov, A. G. Sergeev, V. P. Pavlov, I. Ya. Aref'eva, Yu. A. Tserkovnikov, “The 70th birthday of V. S. Vladimirov”, Theoret. and Math. Phys., 94:1 (1993), 1–2
46.
I. V. Volovich, A. K. Gushchin, A. A. Dezin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavyalov, V. A. Il'in, V. M. Millionshchikov, V. N. Mikhailov, A. G. Sergeev, “Vladimirov Vasilii Sergeevich (70-th birthday tribute)”, Differential Equations, 29:2 (1993), 305–313
1992
47.
V. V. Zharinov, Lecture notes on geometrical aspects of partial differential equations, Series on Soviet and East European Mathematics, 9, World Scientific Publishing Co. Inc., River Edge, NJ, 1992 , x+360 pp.
48.
V. V. Zharinov, “Differential algebras and low-dimensional conservation laws”, Math. USSR-Sb., 71:2 (1992), 319–329
1990
49.
V. V. Zharinov, “Extrinsic geometry of differential equations and Green's formula”, Math. USSR-Izv., 35:1 (1990), 37–60
1989
50.
V. V. Zharinov, “String symmetries and conservation laws”, Theoret. and Math. Phys., 81:2 (1989), 1125–1133
51.
S. I. Pokhozhaev, V. V. Zharinov, M. A. Illarionov, V. P. Pikulin, Nelineinyi prikladnoi funktsionalnyi analiz, Ucheb. posobie po krusu vysshaya matematika, Izd-vo MEI, M., 1989 , 77 pp.
1988
52.
V. V. Zharinov, “Intrinsic geometry of differential equations”, Lectures in mathematics and its applications, 2, no. 2, Ross. Akad. Nauk, Inst. Mat. im. Steklova, Moscow; Tul'sk. Politekhn. Inst., Tula, 1988, 3–50
1989
53.
V. V. Zharinov, “On Bäcklund correspondences”, Math. USSR-Sb., 64:1 (1989), 277–293
1988
54.
V. V. Zharinov, “Green's formula for nonlinear systems of partial differential equations”, Soviet Math. Dokl., 36:2 (1988), 314–316
1987
55.
B. V. Boyarsky, O. A. Oleinik, A. V. Babin, M. I. Vishik, Yu. S. Ilyashenko, V. M. Millionshchikov, D. Serr, V. S. Vladimirov, I. V. Volovich, V. V. Zharinov, G. M. Zaslavsky, R. Z. Sagdeev, D. A. Ysikov, A. A. Chernikov, B. A. Malomed, M. I. Tribel'sky, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 42:3(255) (1987), 221–228
1988
56.
V. S. Vladimirov, V. V. Zharinov, “Analytic methods in mathematical physics”, Proc. Steklov Inst. Math., 175 (1988), 117–138
1986
57.
V. V. Zharinov, N. G. Marchuk, “Green's formulas and bilinear conservation laws”, Math. Notes, 40:4 (1986), 776–780
1988
58.
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
1986
59.
V. V. Zharinov, “Conservation laws of evolution systems”, Theoret. and Math. Phys., 68:2 (1986), 745–751
1985
60.
V. S. Vladimirov, V. Ya. Gutlyanskii, V. V. Zharinov, Yu. E. Hohlov, “All-Union School on complex methods in mathematical physics”, Uspekhi Mat. Nauk, 40:6(246) (1985), 173–177
1986
61.
V. V. Zharinov, “The geometry of analytic jets”, Math. USSR-Sb., 53:2 (1986), 367–383
1985
62.
V. V. Zharinov, “Distributive lattices and their applications in complex analysis”, Proc. Steklov Inst. Math., 162 (1985), 1–79
1983
63.
V. V. Zharinov (Ed.), Twistors and gauge fields, Mir, Moscow, 1983 , 366 pp.
1982
64.
V. V. Zharinov, “Conservation laws for linear systems”, Differ. Equations, 18 (1982), 350–356
1981
65.
V. V. Zharinov, “Distributive lattices and the “edge of the wedge” theorem of Bogolyubov”, Generalized functions and their applications in mathematical physics (Moscow, 1980), Akad. Nauk SSSR Vychisl. Tsentr, Moscow, 1981, 237–249
66.
V. S. Vladimirov, V. V. Zharinov, “Closed forms associated with linear differential operators”, Generalized functions and their applications in mathematical physics (Moscow, 1980), Akad. Nauk SSSR Vychisl. Tsentr, Moscow, 1981, 135–140
67.
V. V. Zharinov, “A generalization of Bogoljubov's “edge of the wedge” theorem”, Sov. Math. Dokl., 24 (1981), 425–429
1980
68.
V. V. Zharinov, “On an exact sequence of modules and Bogoljubov's “Edge of the wedge” theorem”, Sov. Math. Dokl., 21 (1980), 357–360
69.
V. S. Vladimirov, V. V. Zharinov, “Closed forms associated with linear differential operators”, Differ. Equations, 16 (1980), 534–552
1981
70.
V. V. Zharinov, “Fourier ultrahyperfunctions”, Math. USSR-Izv., 16:3 (1981), 479–511
1980
71.
V. V. Zharinov, “Quasiasymptotic behavior of Fourier hyperfunctions”, Theoret. and Math. Phys., 43:1 (1980), 302–306
1979
72.
V. V. Zharinov, “Duality in families of locally convex subspaces”, Sov. Math. Dokl., 20 (1979), 792–794
73.
V. V. Zharinov, “Compact families of locally convex topological vector spaces, Fréchet–Schwartz and dual Fréchet–Schwartz spaces”, Russian Math. Surveys, 34:4 (1979), 105–143
1980
74.
V. V. Zharinov, “On the lattice of subspaces of the Fourier ultrahyperfunctions”, Math. USSR-Sb., 37:1 (1980), 118–132
75.
V. V. Zharinov, “Analytic representations of a class of analytic functionals containing Fourier hyperfunctions”, Math. USSR-Sb., 36:1 (1980), 59–73
1978
76.
V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals. II”, Theoret. and Math. Phys., 37:1 (1978), 843–855
1977
77.
V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals”, Theoret. and Math. Phys., 33:3 (1977), 1027–1039
1974
78.
V. V. Zharinov, “Preobrazovanie Laplasa odnogo klassa obobschennykh funktsii”, prilozhenie II k knige: A. G. Zemanyan, Integralnye preobrazovaniya obobschennykh funktsii, Nauka, M., 1974
1971
79.
V. V. Zharinov, “Integral representation of Wightman functions in two-dimensional space-time”, Theoret. and Math. Phys., 9:2 (1971), 1101–1107
80.
V. V. Zharinov, “On the Nakanishi representation”, Theoret. and Math. Phys., 6:2 (1971), 108–112
1970
81.
V. S. Vladimirov, V. V. Zharinov, “On a representation of the Jost–Lehmann–Dyson type”, Theoret. and Math. Phys., 3:3 (1970), 525–536
Presentations in Math-Net.Ru
1.
Navier–Stokes equations, the algebraic aspect V. V. Zharinov III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 6, 2023 11:10
Navier-Stokes equations in algebraic approach V. V. Zharinov International Conference "Selected Topics in Mathematical Physics" Dedicated to 75-th Anniversary of I. V. Volovich September 30, 2021 10:35
7.
A model of relativistic dynamics V. V. Zharinov Mathematical Physics, Dynamical Systems and Infinite-Dimensional
Analysis – 2021 July 6, 2021 19:00
8.
О динамике волновых пакетов I. V. Volovich, V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS December 31, 2020 11:00
9.
Binary relations and fuzzy logic Victor Zharinov International Conference on Mathematical Physics in Memory of Academic V. S. Vladimirov November 24, 2020 17:45
Lie-Poisson structures V. V. Zharinov International Bogolyubov Conference Problems of Theoretical and Mathematical Physics dedicated to the 110th anniversary of N. N. Bogolyubov's birth September 9, 2019 16:50
О представлении типа Йоста–Лемана–Дайсона V. V. Zharinov International Conference of Mathematical Physics dedicated to the memory of academician V. S. Vladimirov November 9, 2017 16:30
О преобразовании Беклунда V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS October 13, 2016 11:00
20.
On the Backlund transformation V. V. Zharinov The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics May 14, 2016 15:50
Об умножении обобщенных функций V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS February 5, 2015 11:00
V. V. Zharinov, Algebraic and geometric foundation of mathematical physics, Lekts. Kursy NOC, 9, 2008, 210 с. http://mi.mathnet.ru/book651
V. V. Zharinov, Distributive structures and their applications in complex analysis, Trudy Mat. Inst. Steklov., 162, 1983, 81 с. http://mi.mathnet.ru/book1177