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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
English version PDF (318 kB) Citations (14)
References:
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DOI: https://doi.org/10.1070/sm2000v191n10ABEH000516
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
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 10, Pages 57–86
DOI: https://doi.org/10.4213/sm516
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”, Mat. Sb., 191:10 (2000), 57–86; Sb. Math., 191:10 (2000), 1477–1506
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:531
    Russian version PDF:205
    English version PDF:16
    References:68
    First page:1
     
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