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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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Linking options:
  • https://www.mathnet.ru/eng/mzm4414
  • https://doi.org/10.4213/mzm4414
  • https://www.mathnet.ru/eng/mzm/v85/i6/p894
    • This publication is cited in the following 4 articles:
    1. I. Kh. Musin, A. I. Rakhimova, “Paley–Wiener–Schwartz Type Theorem for Ultradistributions on an Unbounded Closed Convex Set”, J Math Sci, 259:2 (2021), 210  crossref
    2. I. Kh. Musin, “On Fourier–Laplace transform of a class of generalized functions”, Ufa Math. J., 12:4 (2020), 78–89  mathnet  crossref  isi
    3. Musin I.Kh., Yakovleva P.V., “On a space of smooth functions on a convex unbounded set in $\mathbb R^n$ admitting holomorphic extension in $\mathbb C^n$”, Cent. Eur. J. Math., 10:2 (2012), 665–692  crossref  mathscinet  zmath  isi  elib  scopus
    4. I. Kh. Musin, P. V. Fedotova, “O klasse beskonechno differentsiruemykh funktsii na neogranichennom vypuklom mnozhestve v $\mathbb R^n$, dopuskayuschikh golomorfnoe prodolzhenie v $\mathbb C^n$”, Ufimsk. matem. zhurn., 1:2 (2009), 75–100  mathnet  zmath  elib
    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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    References:84
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