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Mathematics of the USSR-Izvestiya, 1981, Volume 16, Issue 3, Pages 479–511
DOI: https://doi.org/10.1070/IM1981v016n03ABEH001319 (Mi im1738) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Fourier ultrahyperfunctions

V. V. Zharinov
English version PDF (1536 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1981v016n03ABEH001319
Abstract: This article is devoted to a systematic study of one class of analytic functionals, called the Fourier ultrahyperfunctions. Distributive lattices of subspaces of Fourier ultrahyperfunctions are determined, and the Fourier and Laplace transforms as well as multipliers and convolutors are described. For a suitable class of analytic functions the concept of the boundary value is introduced, and a theorem of the type of Bogolyubov's "edge-of-the-wedge" theorem is established.
Bibliography: 21 titles.
Received: 20.09.1979
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: Primary 46F15, 46F12; Secondary 81E05
Language: English
Original paper language: Russian
Citation: V. V. Zharinov, “Fourier ultrahyperfunctions”, Math. USSR-Izv., 16:3 (1981), 479–511
Citation in format AMSBIB
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\by V.~V.~Zharinov
\paper Fourier ultrahyperfunctions
\jour Math. USSR-Izv.
\yr 1981
\vol 16
\issue 3
\pages 479--511
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\crossref{https://doi.org/10.1070/IM1981v016n03ABEH001319}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1981IzMat..16..479Z}
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  • https://doi.org/10.1070/IM1981v016n03ABEH001319
  • https://www.mathnet.ru/eng/im/v44/i3/p533
    • This publication is cited in the following 1 articles:
    1. Andreas Debrouwere, Lenny Neyt, “Weighted (PLB)-spaces of ultradifferentiable functions and multiplier spaces”, Monatsh Math, 198:1 (2022), 31  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:503
    Russian version PDF:152
    English version PDF:36
    References:96
    First page:3
     
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