Results 1 to 10 of about 166,276,517 (302)
On the denseness in the space of analytic functions
Lietuvos Matematikos Rinkinys, 2002 There is not abstract.
Antanas Laurinčikas
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REMARKS ON A HILBERT SPACE OF ANALYTIC FUNCTIONS [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1962 V Bargmann
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Gram Points in the Universality of the Dirichlet Series with Periodic Coefficients
Mathematics, 2023 Let a={am:m∈N} be a periodic multiplicative sequence of complex numbers and L(s;a), s=σ+it a Dirichlet series with coefficients am. In the paper, we obtain a theorem on the approximation of non-vanishing analytic functions defined in the strip 1 ...
Darius Šiaučiūnas, Monika Tekorė
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Joint Approximation of Analytic Functions by Shifts of Lerch Zeta-Functions
Mathematics, 2023 In this paper, we consider the simultaneous approximation of tuples of analytic functions by tuples of shifts of Lerch zeta-functions with arbitrary parameters.
Antanas Laurinčikas +2 more
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On Discrete Approximation of Analytic Functions by Shifts of the Lerch Zeta Function
Mathematics, 2022 The Lerch zeta function is defined by a Dirichlet series depending on two fixed parameters. In the paper, we consider the approximation of analytic functions by discrete shifts of the Lerch zeta function, and we prove that, for arbitrary parameters and a
Audronė Rimkevičienė +1 more
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The Investigation of the Discrete Universality of L-Functions of Elliptic Curves
Jaunųjų Mokslininkų Darbai, 2022 In the paper, we prove the discrete universality theorem in the sense of the weak convergence of probability measures in the space of analytic functions for the L-functions of elliptic curves.
Samanta Zakaitė, Antanas Garbaliauskas
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Analytic functions on tubes of nonarchimedean analytic spaces [PDF]
Algebra & Number Theory, 2017 19 pages; modifications in section 4 to drop the assumption that the rings are reduced; typos corrected and examples added; the appendix appears now as a joint ...
Martin, Florent, Kappen, Christian
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Algebras of entire functions containing functions of unbounded type on a Banach space
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we consider algebras of entire analytic functions which are bounded on a prescribed family of balls in a Banach space. We investigate the structures of such algebras and describe their spectra in terms of spectra of algebras of uniformly ...
A. Zagorodnyuk, A. Hihliuk
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Euler spaces of analytic functions [PDF]
Transactions of the American Mathematical Society, 1988 A formula due to Euler and Legendre is used to construct finite-difference counterparts to the Dirichlet space. The spaces have integral representations and characterizations in terms of area integrals. Their reproducing kernels are logarithms of the reproducing kernels of the Newton spaces, which are counterparts to the Hardy ...
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A note on approximation of continuous functions on normed spaces
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $X$ be a real separable normed space $X$ admitting a separating polynomial. We prove that each continuous function from a subset $A$ of $X$ to a real Banach space can be uniformly approximated by restrictions to $A$ of functions, which are analytic ...
M.A. Mytrofanov, A.V. Ravsky
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