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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 1, Pages 201–214 (Mi timm1042)  
This article is cited in 4 scientific papers (total in 4 papers)

On one class of differential operators and their application

V. V. Napalkova, A. U. Mullabaevab

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b Bashkir State University
Full-text PDF (222 kB) Citations (4)
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Abstract: 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 $H(\mathbb C)$. Next, we consider the characteristic function of this operator and introduce a generalized Laplace transform. We study the homogeneous equation of the generalized convolution operator, investigate its solvability, and consider the multi-point Vallée Poussin problem.
Keywords: generalized Bargmann–Fock space, generalized differentiation operator, eigenfunction, generalized Laplace transform, characteristic function, generalized shift operator, generalized convolution operator, sequentially sufficient set, uniqueness set, Vallée Poussin problem.
Received: 18.04.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 288, Issue 1, Pages 142–155
DOI: https://doi.org/10.1134/S0081543815020145
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. V. Napalkov, A. U. Mullabaeva, “On one class of differential operators and their application”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 1, 2014, 201–214; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 142–155
Citation in format AMSBIB
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\paper On one class of differential operators and their application
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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