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pro vyhledávání: '"Aytuna, Aydin"'
Autor:
Aytuna, Aydın
In this paper, we explore the existence of pluricomplex Green functions for Stein manifolds from a functional analysis point of view. For a Stein manifold $M$, we will denote by $O(M)$ the Fr\'echet space of analytic functions on $M$ equipped with th
Externí odkaz:
http://arxiv.org/abs/2112.13212
Autor:
Aytuna, Aydın
Publikováno v:
Studia Mathematica 2016
We investigate tameness in the Fr\'echet spaces O(M) of analytic functions on Stein manifolds M equipped with the compact open topology. Actually we will look into tameness in the more general class of nuclear Fr\'echet spaces with the properties wea
Externí odkaz:
http://arxiv.org/abs/1603.01835
Autor:
Aytuna, Aydın, Sadullaev, Azimbay
Publikováno v:
Contemporary Mathematics, vol. 662, 2016 Amer. Math. Soc., Providence, RI, , pp. 1-22
A Stein manifold X is called S-parabolic if it possesses a plurisub- harmonic exhaustion function p that is maximal outside a compact subset of X: In analogy with (Cn; ln jzj), one defines the space of polynomials on a S- parabolic manifold (X; p) as
Externí odkaz:
http://arxiv.org/abs/1504.08092
Autor:
Aytuna, Aydın
Publikováno v:
Mathematical Forum v.7 (Review of Science: The south of Russia) Vladikavkaz 2013 p. 45-57
In this note, we consider the linear topological invariant {\Omega}-tilda for Fr\'echet spaces of global analytic functions on Stein manifolds. We show that O(M), for a Stein manifold M, enjoys the property {\Omega}-tilda if and only if every compact
Externí odkaz:
http://arxiv.org/abs/1312.2760
Autor:
Aytuna, Aydin, Djakov, Plamen
We prove that if $(\varphi_n)_{n=0}^\infty, \; \varphi_0 \equiv 1, $ is a basis in the space of entire functions of $d$ complex variables, $d\geq 1,$ then for every compact $K\subset \mathbb{C}^d$ there is a compact $K_1 \supset K$ such that for ever
Externí odkaz:
http://arxiv.org/abs/1201.5607
Autor:
Aytuna, Aydin, Sadullaev, Azimbay
Publikováno v:
Mathematica Scandinavica, v.114, no 1, (2014) , 86-109
An open Riemann surface is called parabolic in case every bounded subharmonic function on it reduces to a constant. Several authors introduced seemingly different analogs of this notion for Stein manifolds of arbitrary dimension. In the first part of
Externí odkaz:
http://arxiv.org/abs/1112.1626
Akademický článek
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Autor:
Aytuna, Aydin, Zakharyuta, Vyacheslav
Publikováno v:
Proceedings of the American Mathematical Society, 2008 May 01. 136(5), 1733-1742.
Externí odkaz:
https://www.jstor.org/stable/20535349
Autor:
Aytuna, Aydin
Publikováno v:
Proceedings of the American Mathematical Society, 1995 Mar 01. 123(3), 759-763.
Externí odkaz:
https://www.jstor.org/stable/2160798
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 June 2001 258(2):429-447