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Problemy Analiza — Issues of Analysis, 2018, Volume 7(25), special issue, Pages 137–152
DOI: https://doi.org/10.15393/j3.art.2018.5410 (Mi pa238) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Elementary solutions of a homogeneous $q$-sided convolution equation

A. A. Tatarkin, U. S. Saranchuk

Kuban State University, 149 Stavropolskaya st., Krasnodar 350040, Russia
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DOI: https://doi.org/10.15393/j3.art.2018.5410
Abstract: Spectral synthesis on the complex plane related to solutions of some homogeneous equations of convolution type. There is a method to obtain solutions: we describe the elementary solutions set of the equation (spectral analysis) and prove the approximation theorem (spectral synthesis). In this paper we use the method for some homogeneous equations of convolution type, which appears from spectral synthesis problem for some differential operator.
Keywords: differential operator, holomorphic function, spectral synthesis, spectral analysis, shift operator, convolution equation.
Received: 21.05.2018
Revised: 03.09.2018
Accepted: 03.09.2018
Bibliographic databases:
Document Type: Article
UDC: 517.53/.55
MSC: 34L05
Language: English
Citation: A. A. Tatarkin, U. S. Saranchuk, “Elementary solutions of a homogeneous $q$-sided convolution equation”, Probl. Anal. Issues Anal., 7(25), special issue (2018), 137–152
Citation in format AMSBIB
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\by A.~A.~Tatarkin, U.~S.~Saranchuk
\paper Elementary solutions of a homogeneous $q$-sided convolution equation
\jour Probl. Anal. Issues Anal.
\yr 2018
\vol 7(25)
\pages 137--152
\issueinfo special issue
\mathnet{http://mi.mathnet.ru/pa238}
\crossref{https://doi.org/10.15393/j3.art.2018.5410}
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\elib{https://elibrary.ru/item.asp?id=35688769}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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