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Matematicheskie Zametki, 2002, Volume 72, Issue 3, Pages 418–432
DOI: https://doi.org/10.4213/mzm433 (Mi mzm433) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Bases of Exponentials in the Spaces $L^p(-\pi,\pi)$

A. M. Sedletskii

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm433
Abstract: It is proved that systems of exponentials orthogonal to measures of a special kind form bases in $L^p(-\pi,\pi)$, $1<p<\infty$, for which an analog of the Riesz theorem on the projection from $L^p$ onto $H^p$ is valid.
Received: 05.01.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 3, Pages 383–397
DOI: https://doi.org/10.1023/A:1020555522378
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. M. Sedletskii, “Bases of Exponentials in the Spaces $L^p(-\pi,\pi)$”, Mat. Zametki, 72:3 (2002), 418–432; Math. Notes, 72:3 (2002), 383–397
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm433
  • https://www.mathnet.ru/eng/mzm/v72/i3/p418
    • This publication is cited in the following 1 articles:
    1. A. M. Sedletskii, “Analytic Fourier Transforms and Exponential Approximations. II”, Journal of Mathematical Sciences, 130:6 (2005), 5083–5255  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:118
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