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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 33, Number 3, Pages 291–309 (Mi tmf3329)  
This article is cited in 12 scientific papers (total in 12 papers)

Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals

V. V. Zharinov
Full-text PDF (2438 kB) Citations (12) English version article
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Abstract: The spaces of analytic functionals of two types are introduced: spaces of the type $\Phi'$ characterized by Fourier transformation and including the space of Fourier hyperfunctions as a particular case, and spaces of the type $\Lambda'$ characterized by the Laplace transformation. The Laplace transformation on the spaces of the type $\Lambda'$ and connection between spaces of the type $\Phi'$ and $\Lambda'$ are studied. In particular, conditions for the Fourier hyperfunction to possess Laplace transformation are found.
Received: 07.04.1977
English version:
Theoretical and Mathematical Physics, 1977, Volume 33, Issue 3, Pages 1027–1039
DOI: https://doi.org/10.1007/BF01036985
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals”, TMF, 33:3 (1977), 291–309; Theoret. and Math. Phys., 33:3 (1977), 1027–1039
Citation in format AMSBIB
\Bibitem{Zha77}
\by V.~V.~Zharinov
\paper Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals
\jour TMF
\yr 1977
\vol 33
\issue 3
\pages 291--309
\mathnet{http://mi.mathnet.ru/tmf3329}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=512182}
\zmath{https://zbmath.org/?q=an:0364.46026}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 33
\issue 3
\pages 1027--1039
\crossref{https://doi.org/10.1007/BF01036985}
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  • https://www.mathnet.ru/eng/tmf/v33/i3/p291
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    This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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