Výsledky vyhledávání - "V. V. Napalkov"

Composition operators of convolution and multiplication by a function

Publikováno v: Mathematical Notes. 99:368-377

We study an operator which is the composition of the convolution operator and the operator of multiplication by a fixed entire function. Such operators find applications in the Fisher expansion problem, the Cauchy problem for convolution operators, e

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6a754a5151b5f8a584abe6cdb182581c
https://doi.org/10.1134/s0001434616030044

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On isomorphism of reproducing kernel Hilbert spaces

Autor: V. V. Napalkov

Publikováno v: Doklady Mathematics. 95:270-272

Reproducing kernel Hilbert spaces having orthogonally similar decomposition systems are considered. Conditions under which such spaces coincide or are isomorphic are found.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::52c315cd7b12bbb3b7f24e698cfd65b5
https://doi.org/10.1134/s1064562417030243

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On one class of differential operators and their application

Autor: V. V. Napalkov, A. U. Mullabaeva

Publikováno v: Proceedings of the Steklov Institute of Mathematics. 288:142-155

We use a generalized differentiation operator to construct a generalized shift operator, which makes it possible to define a generalized convolution operator in the space H(ℂ). Next, we consider the characteristic function of this operator and intr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9723bfc01d49336f153c47de5e9b83af
https://doi.org/10.1134/s0081543815020145

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Multipoint Vallée Poussin problem for convolution operators with nodes defined inside an angle

Autor: A. A. Nuyatov, V. V. Napalkov

Publikováno v: Theoretical and Mathematical Physics. 180:983-989

We prove the solvability of the multipoint Vallee Poussin (interpolation) problem for the kernel of a convolution operator in the case where the zeros of the characteristic function and nodal points (zeros of an entire function) are inside an angle.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b971a4a515eba868b79e98ef3d63b360
https://doi.org/10.1007/s11232-014-0193-7

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Fischer decomposition for differential operators with variable coefficients

Autor: E. F. Gubaidullina, V. V. Napalkov

Publikováno v: Doklady Mathematics. 92:674-676

Generalized differentiation operators that are, in a certain case, finite-order differential operators with variable coefficients are studied. An arbitrary entire function is decomposed into a sum of two functions, one of which is a solution of an ap

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::37b1f604646ba3e9c848170514f9e2d0
https://doi.org/10.1134/s1064562415060101

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The Dunkl convolution operators and multipoint de la Vallée–Poussin problem

Autor: V. V. Napalkov, K. R. Zabirova

Publikováno v: Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 1(30), Pp 70-81 (2013)

The Dunkl operator as an object of mathematical physics is considered, we study the kernel and the surjectivity of Dunkl convolution operators in the space of entire functions and the space of entire functions of exponential type. The main result is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doajarticles::1755c2af589e8a5f4e8b96bfe44e3e0e
http://mi.mathnet.ru/eng/vsgtu1139

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