Entire and Subhamonic Functions,
Applications of mathematics
Biography
POSITIONS:
(1994-) Senior Research Scientist,Bar-Ilan University;
(1978-93) Professor, Kharkov Raylway Transportation Institute;
(1990-93) Professor, Kharkov University (half-time position);
(1964-78) Lecturer, Kharkov Institute for Radioelectronics;
(1959-64) Engineer, Kharkov Aviation Institute;
(1958-59) Teacher, Village School, Troitsko-Safonovo, Nikolaev region.
EDUCATION:
Doctor Sci. of Mathematics, Kharkov University, June, 1975;
Thesis: "Growth of Subharmonic and Entire Functions of Finite Order".
Ph.D. (Candidate Sci. Degree), Kharkov University, June, 1963;
Thesis: "Subharmonic Functions of Completely Regular Growth",
Advisor: B.Ya.Levin.
Diploma in Mathematics, Mathematics Departments, Kharkov State University, June, 1959.
Thesis: "The Generalization of Hadamard Theorem for Subharmonic functions in the space ",
Advisor: B.Ya.Levin.
TEACHING EXPERIENCE:
Secondary school (1958-59);
Kharkov Aviation Institute (1959-64): Advanced Mathematics, Computer Sci.;
Kharkov Institute for Radioelectronics (1964-78): Advanced Mathematics, Probability Theory, Stochastic Process, Statistics, Complex Analysis, Numerical Methods, Functional Analysis, Mathematical Physics.
Kharkov Railway Transportation Institute (1978-93): Advansed Mathematics, Numerical Methods, Operation Research, Probability Theory.
Kharkov University (1990-93): Probability Theory, Complex Analysis, Growth of Subharmonic Functions (graduate course).
Bar-Ilan University (1994- ): Introduction in Statistics,Introduction in Probability Theory, Statistics, Probability, Infi 1,2, Methods of Analysis 1,2, Set Theory 1,2, Theoretical Statistics I
Main publications:
1. On independence of characteristics of asymptotic behavior of entire functions, Matematicheskaya Fizika, Analiz, Geometriya, 2000, v.9, No 2, pp. 220-223.
2. Limit sets as dynamical systems, Review Bull.Calcutta Math.Soc.,vol.10 (2002)(1&2),pp.67-74;
3. (with David Drasin and Pietro Poggi-Corradini) A generalization of trigonometric convexity and its relation to positive harmonic functions in homogeneous domains, J.d'Analyse.Math.,vol.95(2005),pp.173-220;
4. (with A.A.Gol'dberg) A sharp inequality of the order of the minimal positive harmonic function in T-homogeneous domains, Mat.fizika,Analiz,Geometria, vol.11,No 4(2004),pp.375-379;
5. Multiplicator problem and characteristics of growth of entire functions, Contemporary Mathematics, vol.382 (2005),pp.29-42.
Vladimir Azarin, “On the polynomial asymptotics of subharmonic functions of finite order and their mass distributions”, Zh. Mat. Fiz. Anal. Geom., 3:1 (2007), 5–12
V. Azarin, A. Gol'dberg, “A sharp inequality for the order of the minimal positive harmonic function in $T$-homogeneous domain”, Mat. Fiz. Anal. Geom., 11:4 (2004), 375–379
2002
3.
V. S. Azarin, “On independence of characteristics of asymptotic behavior of entire functions”, Mat. Fiz. Anal. Geom., 9:2 (2002), 220–223
2000
4.
V. Azarin, “Construction of the maximal subharmonic minorant for functions of a special form”, Mat. Fiz. Anal. Geom., 7:4 (2000), 375–379
1990
5.
V. S. Azarin, V. B. Giner, “Multipliers of entire functions of finite order”, Dokl. Akad. Nauk SSSR, 314:5 (1990), 1033–1036; Dokl. Math., 42:2 (1991), 555–558
1989
6.
V. S. Azarin, V. B. Giner, “Completeness of systems of exponentials in convex domains”, Dokl. Akad. Nauk SSSR, 305:1 (1989), 11–14; Dokl. Math., 39:2 (1989), 225–228
V. S. Azarin, L. R. Podoshev, “Limit sets and indicators of an entire function”, Sibirsk. Mat. Zh., 25:6 (1984), 3–16; Siberian Math. J., 25:6 (1984), 833–844
V. S. Azarin, V. B. Giner, “On the structure of cluster sets of entire and subharmonic functions”, Dokl. Akad. Nauk SSSR, 259:5 (1981), 1033–1035
1979
9.
V. S. Azarin, “On the asymptotic behavior of subharmonic functions of finite order”, Mat. Sb. (N.S.), 108(150):2 (1979), 147–167; Math. USSR-Sb., 36:2 (1980), 135–154
V. S. Azarin, “5.12. Two problems about limit properties of entire functions”, Zap. Nauchn. Sem. LOMI, 81 (1978), 276; J. Soviet Math., 26:5 (1984), 2293
1976
11.
V. S. Azarin, “Asymptotic behavior of subharmonic and entire functions”, Dokl. Akad. Nauk SSSR, 229:6 (1976), 1289–1291
V. S. Azarin, “Indicators of an entire function and the regularity of the growth of the fourier coefficients of the logarithm of its modulus”, Funktsional. Anal. i Prilozhen., 9:1 (1975), 47–48; Funct. Anal. Appl., 9:1 (1975), 41–42
V. S. Azarin, “On the growth of Fourier coefficients of the logarithm of the modulus of an entire function”, Zap. Nauchn. Sem. LOMI, 39 (1974), 178
1973
14.
V. S. Azarin, “On the decomposition of an entire function of finite order into factors having given growth”, Mat. Sb. (N.S.), 90(132):2 (1973), 229–230; Math. USSR-Sb., 19:2 (1973), 225–226
V. S. Azarin, “Example of an entire function with given indicator and lower indicator”, Mat. Sb. (N.S.), 89(131):4(12) (1972), 541–557; Math. USSR-Sb., 18:4 (1972), 541–558
V. S. Azarin, “On rays of completely regular growth of an entire function”, Mat. Sb. (N.S.), 79(121):4(8) (1969), 463–476; Math. USSR-Sb., 8:4 (1969), 437–450
V. S. Azarin, “Generalization of a theorem of Hayman's on a subharmonic function in an $m$-dimensional cone”, Mat. Sb. (N.S.), 66(108):2 (1965), 248–264
V. S. Azarin, “Indicator of a function subharmonic in $n$-dimensional space”, Dokl. Akad. Nauk SSSR, 139:5 (1961), 1033–1036
2009
22.
V. S. Azarin, A. È. Eremenko, V. I. Matsaev, I. V. Ostrovskii, M. L. Sodin, “Anatoly Asirovich Goldberg (1930–2008)”, Zh. Mat. Fiz. Anal. Geom., 5:1 (2009), 104–106
2005
23.
V. S. Azarin, A. A. Gol'dberg, A. I. Il'inskii, V. A. Marchenko, L. A. Pastur, I. V. Skrypnik, M. L. Sodin, A. M. Ulanovskii, G. M. Feldman, E. Ya. Khruslov, G. P. Chistyakov, “Iosif Vladimirovich Ostrovskii (on his 70th birthday)”, Uspekhi Mat. Nauk, 60:1(361) (2005), 186–188; Russian Math. Surveys, 60:1 (2005), 189–192
1994
24.
V. S. Azarin, A. A. Gol'dberg, E. A. Gorin, V. A. Marchenko, I. V. Ostrovskii, A. V. Pogorelov, L. I. Ronkin, M. L. Sodin, V. A. Tkachenko, “Boris Yakovlevich Levin (obituary)”, Uspekhi Mat. Nauk, 49:1(295) (1994), 201–202; Russian Math. Surveys, 49:1 (1994), 219–221
1992
25.
V. S. Azarin, A. A. Gol'dberg, “W. K. Hayman, P. B. Kennedy. “Subharmonic functions”. Vol. 1. Acad. Press, London etc., 1976, IV+284 pp.; W. K. Hayman. “Subharmonic functions”. Vol. 2. Acad. Press, London etc., 1989, XXI+591 pp.”, Algebra i Analiz, 4:1 (1992), 194–201
1977
26.
V. S. Azarin, “Поправки к статье “Об асимптотическом поведении субгармонических и целых функций” (ДАН, т. 229, № 6, 1976 г.)”, Dokl. Akad. Nauk SSSR, 232:6 (1977), 1232