Anatolii F. Grishin

[ September 9, 1941 - February 10, 2015 ]

Address

Anatolii F. Grishin
Department of Mathematical Analysis
V.N.Karazin Kharkiv National University
4, Svobody sqr.
Kharkiv, 61022, Ukraine
Tel: +380 057 7075135
E-mail: : grishin@univer.kharkov.ua
Webhttp://matan.univer.kharkov.ua/afgrishin.htm


Position: Professor.
PhD (Doctor in Mathematics and Physics).
Graduate: Kharkov University, 1966.
PhD Thesis, 1970, Kharkov University. Title: "On regularity growth of subharmonic functions".
Doctor Thesis, 1992, Inst. for Low Temperature Physics and Engineering, Kharkov. Title: "Subharmonic functions of finite order".

Research interests: Complex Analysis, Integral equations.


List of principal publications (last updated August 23, 2015)

1. A.F. Grishin,On subharmonic in angle functions having zero order// Teoria funksii, functionalny analiz i prilozenia, Kharkov, 1965, 1, 41-56 (in Russian).

2. A.F. Grishin,On regularity growth of subharmonic functions// Teoria funksii, functionalny analiz i prilozenia, Kharkov, 1968, 6, 3-29; 1968, 7, 59-84; 1969, 8, 126-135 (in Russian).

3. A.F. Grishin,Asymptotic estimations of a class of integrals// Teoria funksii, functionalny analiz i prilozenia, Kharkov, 1974, 18, 102-115 (in Russian).

4. A.F. Grishin,On matching deficiencies \delta_p(a) // Teoria funksii, functionalny analiz i prilozenia, Kharkov, 1976, 25, 56-66 (in Russian).

5. A.F. Grishin,On sets of regularity of growth of entire functions// Teoria funksii, functionalny analiz i prilozenia, Kharkov, 1983, 40, 36-47; 1984, 41, 39-55; 1984, 42, 37-43 (in Russian).

6. A.F. Grishin, M.L. Sodin, Growth along ray, distribution zeros in arguments and a uniqueness theorem// Teoria funksii, functionalny analiz i prilozenia. Kharkov, 1988, 50, 47-61. (in Russian)

7. A.F. Grishin, Continuity and asymptotic continuity of Subharmonic functions// Matematicheskaja fizika, analiz, geometria. Kharkov 1994, 1, 2. 193-215 (in Russian)

8. A.F. Grishin, Continuity and asymptotic continuity of Subharmonic functions// Matematicheskaja fizika, analiz, geometria. Kharkov 1995, 2, 2, 1. 177-193 (in Russian)

9. M.A. Fedorov, A.F. Grishin, Some questions of Nevanlinna theory for the complex half-plane// Mathematical Physics, Analysis and Geometry, Vol. 1, No. 3, 1998, 223-271.

10. A.F. Grishin, T.I. Malyutina, On assertions of the Vladimir Bernstein theorem type. Theory of the approximation of functions (Donetsk, 1998), 44--55, Tr. Inst. Prikl. Mat. Mekh., 3, Nats. Akad. Nauk Ukrainy Inst. Prikl. Mat. Mekh., Donetsk, 1998. (in Russian)

11. A.F. Grishin, S.V. Makarenko, On a theorem of Yulmukhametov. (in Russian) // Mat. Zametki 67 (2000), no. 6, 859--862; translation in Math. Notes 67 (2000), no. 5-6, 724--726.

12. A.F. Grishin, T.I. Malyutina, Density functions. (Russian. English summary) // Mat. Fiz. Anal. Geom. 7, No. 4, 387-414 (2000).

13. A.F. Grishin, T.I. Malyutina, General properties of subharmonic functions of finite order in a complex half-plane. (English) // Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 475, 20-44 (2000).

14. A.F. Grishin, Subharmonic functions, satisfying the local Levin condition // Israel Mathematical Conference Рroceedings, 15, 137-147 (2001).

15. A.F. Grishin, I.V. Poedintseva, Integrals with kernels including logarithms. (English) // Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. No. 51, 542, 28-34 (2002).

16. A.F. Grishin, The simplest Tauberian theorem. (English. Russian original) // Math. Notes 74, No. 2, 312-219 (2003); translation from Mat. Zametki 74, No. 2, 221-229 (2003).

17. A.F. Grishin, I.V. Poedintseva, Two integrals // Вісник Харківського державного університету, 582, 135-143 (2003).

18. A.F. Grishin, I.V. Poedintseva, On a Tauberian theorem of Keldysh. (in Russian) // Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 315 (2004), Issled. po Linein. Oper. i Teor. Funkts. 32, 63--89, 156--157; translation in J. Math. Sci. (N. Y.) 134 (2006), no. 4, 2272--2287.

19. A.F. Grishin, T.I. Malyutina, New formulas for indicators of subharmonic functions // Mat. Fiz. Anal. Geom. 12 (2005), no. 1, 25--72. (in Russian)

20. A.F. Grishin, A. Shuigi, On the theory of Azarin limit sets // Mat. Stud. 28 (2007), no. 2, 162--174. (in Russian)

21. A. Chouigui, A.F. Grishin, A property of Azarin's limit set of subharmonic functions. (English) // Zh. Mat. Fiz. Anal. Geom. 4, No. 3, 346-357 (2008).

22. A.F. Grishin, A. Chouigui, Various types of convergence of sequences of $\delta $-subharmonic functions. (English. Russian original) // Sb. Math. 199, No. 6, 811-832 (2008); translation from Mat. Sb. 199, No. 6, 27-48 (2008).

23. А.Ф. Гришин, О.Ф. Крижановский, Экстремальная задача для матриц и теорема Безиковича о покрытии // Мат. просвещение, сер. 3, вып. 14, 1-8 (2010).

24. A.F. Grishin, I.V. Poedintseva, Fourier coefficients of borelian measures on the circle // Visnyk of V.N.Karazin Kharkiv National University. Ser. "Mathematics, Applied Mathematics and Mechanics", N. 1061, Issue 67, 45-52 (2013). [pdf], (in Russian).

25. A.F. Grishin, I.V. Poedintseva, Abel and Tauberian theorems for integrals. (English. Russian original)// St. Petersbg. Math. J. 26, No. 3, 357-409 (2015); translation from Algebra Anal. 26, No. 3, 1-88 (2014).

26. A.F. Grishin, Nguyen Van Quynh, I.V. Poedintseva, Representation theorems of $\delta$-subharmonic functions // Visnyk of V.N.Karazin Kharkiv National University. Ser. "Mathematics, Applied Mathematics and Mechanics", N. 1133, Issue 70, 56-75, (2014). [pdf], (in Russian).

27. O.A. Bozhenko, A.F. Grishin, K.G. Malyutin, An interpolation problem in the class of entire functions of zero order. (English. Russian original) // Izv. Math. 79, No. 2, 233-256 (2015): translation from Izv. Ross. Akad. Nauk, Ser. Mat 79, No.2, 21-44 (2015).


A.F. Grishin (obituary) // Visnyk of V.N.Karazin Kharkiv National University. Ser. "Mathematics, Applied Mathematics and Mechanics", Volume 82, (2015), P. 67-68; [pdf].
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