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Sbornik: Mathematics, 2000, Volume 191, Issue 10, Pages 1477–1506
DOI: https://doi.org/10.1070/sm2000v191n10ABEH000516
(Mi sm516)
 

This article is cited in 14 scientific papers (total in 14 papers)

Fourier–Laplace transformation of functionals on a weighted space of infinitely smooth functions

I. Kh. Musin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
References:
Abstract: The dual to a weighted space $G$ of infinitely smooth functions on the real axis is described by means of the Fourier–Laplace transformation. This result is used in the study of the surjectivity in $G$ of an infinite-order linear differential operator with constant coefficients.
Received: 20.09.1999
Bibliographic databases:
UDC: 517.982.3
MSC: Primary 46E10, 42B10; Secondary 30H05
Language: English
Original paper language: Russian
Citation: I. Kh. Musin, “Fourier–Laplace transformation of functionals on a weighted space of infinitely smooth functions”, Sb. Math., 191:10 (2000), 1477–1506
Citation in format AMSBIB
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\by I.~Kh.~Musin
\paper Fourier--Laplace transformation of functionals on a~weighted space of infinitely smooth functions
\jour Sb. Math.
\yr 2000
\vol 191
\issue 10
\pages 1477--1506
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\crossref{https://doi.org/10.1070/sm2000v191n10ABEH000516}
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Linking options:
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  • https://doi.org/10.1070/sm2000v191n10ABEH000516
  • https://www.mathnet.ru/eng/sm/v191/i10/p57
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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