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Funktsional'nyi Analiz i ego Prilozheniya, 2017, Volume 51, Issue 2, Pages 97–100
DOI: https://doi.org/10.4213/faa3443 (Mi faa3443) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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Fourier transform and quasi-analytic classes of functions of bounded type on tubular domains

F. A. Shamoyan

Bryansk State University, Bryansk, Russia
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DOI: https://doi.org/10.4213/faa3443
Abstract: A condition for a function of bounded type to belong to the Hardy class $H^1$ in terms of the Fourier transform of the boundary values of this function on $R^n$ is found. Applications of the obtained result to the theories of Hardy classes and of quasi-analytic classes of functions are given.
Keywords: Fourier transform, quasi-analytic classes, pluriharmonic function, tubular domain.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1704.2014К
This work was supported by the Ministry of Education and Science of the Russian Federation (project no. 1.1704.2014K).
Received: 29.04.2016
Revised: 08.11.2016
Accepted: 20.10.2016
English version:
Functional Analysis and Its Applications, 2017, Volume 51, Issue 2, Pages 157–160
DOI: https://doi.org/10.1007/s10688-017-0179-y
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: F. A. Shamoyan, “Fourier transform and quasi-analytic classes of functions of bounded type on tubular domains”, Funktsional. Anal. i Prilozhen., 51:2 (2017), 97–100; Funct. Anal. Appl., 51:2 (2017), 157–160
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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