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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
References:
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
Russian version:
Uspekhi Matematicheskikh Nauk, 2004, Volume 59, Issue 1(355), Pages 169–178
DOI: https://doi.org/10.4213/rm707
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”, Uspekhi Mat. Nauk, 59:1(355) (2004), 169–178; Russian Math. Surveys, 59:1 (2004), 171–180
Citation in format AMSBIB
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\paper Representation of functions by exponentials with positive frequencies
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\pages 169--178
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Linking options:
  • https://www.mathnet.ru/eng/rm707
  • https://doi.org/10.1070/RM2004v059n01ABEH000707
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:746
    Russian version PDF:359
    English version PDF:23
    References:82
    First page:2
     
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