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Matematicheskie Zametki, 2014, Volume 96, Issue 1, Pages 83–87
DOI: https://doi.org/10.4213/mzm10351 (Mi mzm10351) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Criterion for the Compactness of the Support of a Generalized Function (Distribution) in Terms of the Fourier–Laplace Transform

V. Z. Meshkov, I. P. Polovinkin

Voronezh State University
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DOI: https://doi.org/10.4213/mzm10351
Abstract: Using the Fragmen–Lindelöf principle, we prove that, in the Paley–Wiener–Schwartz theorem, the condition imposed on the function can be replaced by two conditions whose validity is easier to verify in a number of cases.
Keywords: generalized function (distribution), Fragmen–Lindelöf principle, Paley–Wiener–Schwartz theorem, Fourier–Laplace transform.
Received: 01.08.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 1, Pages 95–98
DOI: https://doi.org/10.1134/S0001434614070086
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. Z. Meshkov, I. P. Polovinkin, “A Criterion for the Compactness of the Support of a Generalized Function (Distribution) in Terms of the Fourier–Laplace Transform”, Mat. Zametki, 96:1 (2014), 83–87; Math. Notes, 96:1 (2014), 95–98
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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