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Russian Mathematical Surveys, 2004, Volume 59, Issue 1, Pages 171–180
DOI: https://doi.org/10.1070/RM2004v059n01ABEH000707 (Mi rm707) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Representation of functions by exponentials with positive frequencies

A. M. Olevskii

Tel Aviv University, School of Mathematical Sciences
English version PDF (170 kB) Citations (7) Russian version article
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DOI: https://doi.org/10.1070/RM2004v059n01ABEH000707
Abstract: Some new aspects are studied for the following general problem: what spectra of frequencies enable one to represent an arbitrary function as a series in the corresponding harmonics. Of particular interest is the ‘analytic’ situation in which only positive frequencies are used.
Received: 27.11.2003
Bibliographic databases:
Document Type: Article
UDC: 517.518
MSC: Primary 42A16; Secondary 42A20, 42A61, 42A63
Language: English
Original paper language: Russian
Citation: A. M. Olevskii, “Representation of functions by exponentials with positive frequencies”, Russian Math. Surveys, 59:1 (2004), 171–180
Citation in format AMSBIB
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\by A.~M.~Olevskii
\paper Representation of functions by exponentials with positive frequencies
\jour Russian Math. Surveys
\yr 2004
\vol 59
\issue 1
\pages 171--180
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\crossref{https://doi.org/10.1070/RM2004v059n01ABEH000707}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004RuMaS..59..171O}
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  • https://www.mathnet.ru/eng/rm/v59/i1/p169
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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