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Matematicheskie Zametki, 2009, Volume 85, Issue 6, Pages 894–914
DOI: https://doi.org/10.4213/mzm4414 (Mi mzm4414) 		 
This article is cited in 4 scientific papers (total in 4 papers)

A Theorem of Paley–Wiener Type for Ultradistributions

I. Kh. Musin, P. V. Fedotova

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (594 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm4414
Abstract: Using the Fourier–Laplace transformation of functionals, we give a description of the spaces dual to the spaces of rapidly decreasing infinitely differentiable functions on an unbounded closed convex set in $\mathbb R^n$.
Keywords: ultradistribution, Paley–Wiener theorem, Fourier–Laplace transformation, holomorphic function, plurisubharmonic function, Lebesgue measure.
Received: 22.11.2007
Revised: 07.11.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 6, Pages 848–867
DOI: https://doi.org/10.1134/S0001434609050265
Bibliographic databases:
UDC: 517.982.3
Language: Russian
Citation: I. Kh. Musin, P. V. Fedotova, “A Theorem of Paley–Wiener Type for Ultradistributions”, Mat. Zametki, 85:6 (2009), 894–914; Math. Notes, 85:6 (2009), 848–867
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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