locally convex spaces, linear topological invariants, isomorphic classification, bases, spaces of analytic and harmonic functions, polynomial approximation and interpolation in several variables, pluripotential theory, analytic and harmonic extension.
UDC:
513.88, 517.5
Subject:
Functional and complex analysis.
Main publications:
Zahariuta V., “Inequalities for harmonic functions on spheroids and their applications”, Indiana University Mathematical Journal, 50:2 (2001), 1047–1075
Chalov P., Terzioglu T., Zahariuta V., “Multirectangular invariants for power Köthe spaces”, Mathematical Analysis and Applications, 297 (2004), 673–695
Aytuna A., Zakharyuta V., “On Lelong-Bremermann Lemma”, Proceedings of American Mathematical Society, 130:5 (2008), 1733–1742
Zakharyuta V., “Separately analytic functions, generalization of Hartogs theorem and envelopes of holomorphy”, Math. USSR Sbornik, 30 (1976), 51–67
Zakharyuta, V., “Generalized Mityagin's invariants and continuum of pairwise non-isomorphic spaces of analytic functions”, Funkcional. Anal. i Priložen., 11:3 (1977), 24–30
O. Günyüz, V. Zakharyuta, “An Internal Polya Inequality for
$\mathbb{C}$-Convex Domains in
$\mathbb{C}^{n}$”, Math. Notes, 105:3 (2019), 351–358
2001
2.
V. P. Zaharyuta, P. A. Chalov, “Finite families of $l_p$-spaces and multirectangular characteristics”, Sibirsk. Mat. Zh., 42:3 (2001), 538–549; Siberian Math. J., 42:3 (2001), 455–464
V. P. Zaharyuta, S. N. Kadampatta, “Existence of continuable bases in spaces of functions, analytic in compacta”, Mat. Zametki, 27:5 (1980), 701–713; Math. Notes, 27:5 (1980), 334–340
V. P. Zakharyuta, O. S. Semiguk, N. I. Skiba, “6.1. Spaces of analytic functions (isomorphisms, bases)”, Zap. Nauchn. Sem. LOMI, 81 (1978), 25–28; J. Soviet Math., 26:5 (1984), 2101–2103
1977
6.
V. P. Zaharyuta, “Generalized Mityagin invariants and a continuum of pairwise nonisomorphic spaces of analytic functions”, Funktsional. Anal. i Prilozhen., 11:3 (1977), 24–30; Funct. Anal. Appl., 11:3 (1977), 182–188
V. P. Zakharyuta, N. I. Skiba, “Estimates of $n$-diameters of some classes of functions analytic on Riemann surfaces”, Mat. Zametki, 19:6 (1976), 899–911; Math. Notes, 19:6 (1976), 525–532
V. P. Zaharyuta, “Separately analytic functions, generalizations of Hartogs' theorem, and envelopes of holomorphy”, Mat. Sb. (N.S.), 101(143):1(9) (1976), 57–76; Math. USSR-Sb., 30:1 (1976), 51–67
V. P. Zaharyuta, “Transfinite diameter, Chebyshev constants, and capacity for compacta in $\mathbf C^n$”, Mat. Sb. (N.S.), 96(138):3 (1975), 374–389; Math. USSR-Sb., 25:3 (1975), 350–364
M. M. Dragilev, V. P. Zakharyuta, Yu. F. Korobeinik, “A dual relationship between some questions of basis theory and interpolation theory”, Dokl. Akad. Nauk SSSR, 215:3 (1974), 522–525
V. P. Zakharyuta, M. Yu. Tsar'kov, “Operators commuting with multiplication in spaces of analytic functions of one variable”, Mat. Zametki, 13:2 (1973), 269–276; Math. Notes, 13:2 (1973), 158–163
V. P. Zaharyuta, “Isomorphism of spaces of holomorphic functions of several complex variables”, Funktsional. Anal. i Prilozhen., 5:4 (1971), 71–72; Funct. Anal. Appl., 5:4 (1971), 326–328
V. P. Zaharyuta, “Isomorphisms of Cartesian products of linear topological spaces”, Funktsional. Anal. i Prilozhen., 4:2 (1970), 87–88; Funct. Anal. Appl., 4:2 (1970), 166–168
V. P. Zaharyuta, “Spaces of functions of one variable, analytic in open sets and on compacta”, Mat. Sb. (N.S.), 82(124):1(5) (1970), 84–98; Math. USSR-Sb., 11:1 (1970), 75–88
V. P. Zakharyuta, “Extendable bases in spaces of functions that are analytic in multicircular domains”, Sibirsk. Mat. Zh., 11:4 (1970), 793–809; Siberian Math. J., 11:4 (1970), 600–611
1969
17.
V. P. Zaharyuta, “The quasi-equivalence of bases at an infinite center of a Hilbert scale”, Dokl. Akad. Nauk SSSR, 189:1 (1969), 26–28
V. P. Zakharyuta, “Continuable bases in spaces of analytic functions of one and several variables”, Sibirsk. Mat. Zh., 8:2 (1967), 277–292; Siberian Math. J., 8:2 (1967), 204–216
A. V. Abanin, V. P. Zakharyuta, M. I. Karyakin, Yu. F. Korobeinik, A. G. Kusraev, “Dragilev Mikhail Mikhailovich (on his 90th birthday)”, Vladikavkaz. Mat. Zh., 14:4 (2012), 95–98
1973
24.
N. I. Akhiezer, I. I. Vorovich, N. V. Efimov, V. P. Zaharyuta, B. Ya. Levin, “Mikhail Grigor'evich Khaplanov (on his seventieth birthday)”, Uspekhi Mat. Nauk, 28:3(171) (1973), 199–204; Russian Math. Surveys, 28:3 (1973), 141–146