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Matematicheskie Zametki, 2006, Volume 79, Issue 4, Pages 581–596
DOI: https://doi.org/10.4213/mzm2728 (Mi mzm2728) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Generalized Fourier transform and its applications

S. V. Panyushkin

Orel State University
Full-text PDF (250 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2728
Abstract: We consider the generalized Fourier transform treated as an operator on the dual of an arbitrary locally convex space. We give a definition of this operator and establish its basic properties. Special attention is paid to cases in which the range of the generalized Fourier transform coincides with a weighted space of entire functions. The results are applied to finding the orders and types of operators in various spaces.
Received: 08.04.2004
English version:
Mathematical Notes, 2006, Volume 79, Issue 4, Pages 537–550
DOI: https://doi.org/10.1007/s11006-006-0060-4
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: S. V. Panyushkin, “Generalized Fourier transform and its applications”, Mat. Zametki, 79:4 (2006), 581–596; Math. Notes, 79:4 (2006), 537–550
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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