01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
16.02.1955
Keywords:
functions of a complex variable; entire functions; meromorphic functions; distribution of values; potential theory; analytic spaces; subharmonic functions; Fourier series.
The problem of multiple interpolation was formulated and solved in the class of functions of at most normal type for proximate order in the upper half-plane. A theory of sets of regular growth of functions that are analytic in the upper half-plane, relative to a given indicator was developed. A multiple interpolation problem was solved in the class of functions of completely regular growth in the closed upper half-plane which have a prescribed indicator and relative to a given proximal order, as well as in the class of functions analytic in the half-plane which have an indicator that does not exceed a prescribed one. A criterion in the term of Fourier coefficients of delta-subharmonic function was obtained that one is in the class of functions of given growth in the upper half-plane. A number of papers (with N. Sadyk) were devoted to the theory of delta-subharmonic functions of completely regular growth in the upper half-plane.
Biography
Graduated from Faculty of Mathematics and Mechanics of Kharkov State University in 1978 (department of theory of functions). Ph.D. thesis was defended in 1981. D.Sci. thesis was defended in 1996. A list of my works contains more than 60 titles.
Main publications:
K. G. Malyutin, “Ryady Fure i $\delta$-subgarmonicheskie funktsii konechnogo $\gamma$-tipa v poluploskosti”, Matem. sb., 192:6 (2001), 51–70
K. G. Malyutin, N. Sadyk, “Predstavlenie subgapmonicheskikh funktsii v poluploskosti
2007. – T. 198, №12. – C. 47–62.”, Matem. sb., 198:12 (2007), 47–62
O. A. Bozhenko, K. G. Malyutin, “Zadacha kratnoi interpolyatsii v klasse analiticheskikh funktsii nulevogo poryadka v poluploskosti”, Ufimsk. matem. zhurn., 6:1 (2014), 18–29
K. G. Malyutin, I.\I. Kozlova, N. Sadyk, “Kanonicheskie funktsii dopustimykh mer v poluploskosti”, Matem. zametki, 96:3 (2014), 418–431
O. A. Bozhenko, A.,F. Grishin, K. G. Malyutin, “Interpolyatsionnaya zadacha v klasse tselykh funktsii nulevogo poryadka”, Izv. RAN. Ser. matem., 79:2 (2015), 21-44
K. G. Malyutin, A. A. Naumova, “Representation of subharmonic functions in the half-ring and in the half-disk”, Chebyshevskii Sb., 24:5 (2023), 136–152
2.
M. V. Kabanko, K. G. Malyutin, B. N. Khabibullin, “On the proximate growth function relative to the model growth function”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 230 (2023), 56–74
3.
K. G. Malyutin, M. V. Kabanko, “On the type of delta-subharmonic functions of generalized refined order”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 228 (2023), 32–51
2022
4.
K. G. Malyutin, M. V. Kabanko, T. V. Shevtsova, “Analytic functions of infinite order in half-plane”, Probl. Anal. Issues Anal., 11(29):2 (2022), 59–71
2021
5.
K. G. Malyutin, M. V. Kabanko, V. A. Malyutin, “Extremal problems in theory of central Wiman-Valiron index”, Ufimsk. Mat. Zh., 13:1 (2021), 69–77; Ufa Math. J., 13:1 (2021), 68–76
2020
6.
K. G. Malyutin, M. V. Kabanko, “The meromorphic functions of completely regular growth on the upper half-plane”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:3 (2020), 396–409
K. G. Malyutin, A. L. Gusev, “Geometric meaning of the interpolation conditions in the class of functions of finite order in the half-plane”, Probl. Anal. Issues Anal., 8(26):3 (2019), 96–104
K. G. Malyutin, T. I. Malyutina, T. V. Shevtsova, “Azarin limiting sets of functions and asymptotic representation of integrals”, Ufimsk. Mat. Zh., 11:2 (2019), 99–117; Ufa Math. J., 11:2 (2019), 97–113
2018
10.
K. G. Malyutin, M. V. Kabanko, T. I. Malyutina, “Integrals and indicators of subharmonic functions. I”, Chebyshevskii Sb., 19:2 (2018), 272–303
K. G. Malyutin, “Interpolation Problems of A. F. Leontiev Type”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 153 (2018), 108–127; J. Math. Sci. (N. Y.), 252:3 (2021), 399–419
K. G. Malyutin, A. L. Gusev, “The interpolation problem in the spaces of analytical functions of finite order in the half-plane”, Probl. Anal. Issues Anal., 7(25):special issue (2018), 113–123
O. A. Bozhenko, A. F. Grishin, K. G. Malyutin, “An interpolation problem in the class of entire functions of zero order”, Izv. RAN. Ser. Mat., 79:2 (2015), 21–44; Izv. Math., 79:2 (2015), 233–256
K. G. Malyutin, I. I. Kozlova, N. Sadik, “Canonical Functions of Admissible Measures in the Half-Plane”, Mat. Zametki, 96:3 (2014), 418–431; Math. Notes, 96:3 (2014), 391–402
O. A. Bozhenko, K. G. Malyutin, “Problem of multiple interpolation in class of analytical functions of zero order in half-plane”, Ufimsk. Mat. Zh., 6:1 (2014), 18–29; Ufa Math. J., 6:1 (2014), 18–28
K. G. Malyutin, N. Sadik, “The indicator of a delta-subharmonic function in a half-plane”, Ufimsk. Mat. Zh., 3:4 (2011), 86–94
2007
17.
K. G. Malyutin, N. Sadik, “Representation of subharmonic functions in a half-plane”, Mat. Sb., 198:12 (2007), 47–62; Sb. Math., 198:12 (2007), 1747–1761
K. G. Malyutin, N. Sadik, “Extremal problems in the class of delta-subharmonic functions of finite order in a half-plane”, Sibirsk. Mat. Zh., 43:5 (2002), 1095–1101; Siberian Math. J., 43:5 (2002), 882–887
2001
19.
K. G. Malyutin, “Fourier series and $\delta$-subharmonic functions of finite $\gamma$-type in a half-plane”, Mat. Sb., 192:6 (2001), 51–70; Sb. Math., 192:6 (2001), 843–861
K. G. Malyutin, “Sets of regular growth of functions in a half-plane. II”, Izv. RAN. Ser. Mat., 59:5 (1995), 103–126; Izv. Math., 59:5 (1995), 983–1006
K. G. Malyutin, “Sets of regular growth of functions in the half-plane. I”, Izv. RAN. Ser. Mat., 59:4 (1995), 125–154; Izv. Math., 59:4 (1995), 785–814
K. G. Malyutin, “Sets of regular growth in a half-plane. Applications to
interpolation”, Dokl. Akad. Nauk, 333:3 (1993), 297–299; Dokl. Math., 48:3 (1994), 520–523
23.
K. G. Malyutin, “The problem of multiple interpolation in the half-plane in the class of analytic functions of finite order and normal type”, Mat. Sb., 184:2 (1993), 129–144; Russian Acad. Sci. Sb. Math., 78:1 (1994), 253–266
K. G. Malyutin, “Multiple interpolation in a half-plane in a class of analytic functions of finite order and normal type”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 11, 76–78; Russian Math. (Iz. VUZ), 36:11 (1992), 74–76
1984
25.
K. G. Malyutin, “On аа interpolation problem in a class of entire functions of completely regular growth”, Zap. Nauchn. Sem. LOMI, 135 (1984), 96–107
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