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Mathematics of the USSR-Sbornik, 1980, Volume 37, Issue 1, Pages 118–132
DOI: https://doi.org/10.1070/SM1980v037n01ABEH001945 (Mi sm2361) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the lattice of subspaces of the Fourier ultrahyperfunctions

V. V. Zharinov
English version PDF (1044 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1980v037n01ABEH001945
Abstract: Two families of subspaces of Fourier ultrahyperfunctions are singled out, and it is shown that these families form distributive lattices of subspaces. The results obtained are applied to describe the Laplace transform on spaces of type $\Lambda'$ as well as analytic representations on spaces of type $\Phi'$.
Bibliography: 16 titles.
Received: 14.03.1978
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 109(151), Number 1(5), Pages 129–145
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: Primary 46F15; Secondary 46F12
Language: English
Original paper language: Russian
Citation: V. V. Zharinov, “On the lattice of subspaces of the Fourier ultrahyperfunctions”, Mat. Sb. (N.S.), 109(151):1(5) (1979), 129–145; Math. USSR-Sb., 37:1 (1980), 118–132
Citation in format AMSBIB
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\by V.~V.~Zharinov
\paper On the lattice of subspaces of the Fourier ultrahyperfunctions
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 109(151)
\issue 1(5)
\pages 129--145
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=538553}
\zmath{https://zbmath.org/?q=an:0408.46027|0433.46038}
\transl
\jour Math. USSR-Sb.
\yr 1980
\vol 37
\issue 1
\pages 118--132
\crossref{https://doi.org/10.1070/SM1980v037n01ABEH001945}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KN98200008}
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  • https://doi.org/10.1070/SM1980v037n01ABEH001945
  • https://www.mathnet.ru/eng/sm/v151/i1/p129
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:410
    Russian version PDF:131
    English version PDF:11
    References:53
    First page:2
     
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