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

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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} (- π, π)

$L^p(-\pi,\pi)$

A. M. Sedletskii

M. V. Lomonosov Moscow State University

Full-text PDF (252 kB) Citations (1)

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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} (- π, π)

$L^p(-\pi,\pi)$ ,

1 < p < \infty

$1<p<\infty$ , for which an analog of the Riesz theorem on the projection from

L^{p}

$L^p$ onto

H^{p}

$H^p$ 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} (- π, π)

$L^p(-\pi,\pi)$ ”, Mat. Zametki, 72:3 (2002), 418–432; Math. Notes, 72:3 (2002), 383–397

Citation in format AMSBIB

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\by A.~M.~Sedletskii

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

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\yr 2002

\vol 72

\issue 3

\pages 418--432

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\zmath{https://zbmath.org/?q=an:1051.42017}

\transl

\jour Math. Notes

\yr 2002

\vol 72

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\pages 383--397

\crossref{https://doi.org/10.1023/A:1020555522378}

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Linking options:

https://www.mathnet.ru/eng/mzm433

https://doi.org/10.4213/mzm433

https://www.mathnet.ru/eng/mzm/v72/i3/p418

This publication is cited in the following 1 articles:

A. M. Sedletskii, “Analytic Fourier Transforms and Exponential Approximations. II”, Journal of Mathematical Sciences, 130:6 (2005), 5083–5255

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	278
References:	118
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