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Plancherel-Pólya inequality for entire functions of exponential type in \(L^2(\mathbb R)\)

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Publication:1748008
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DOI10.1007/s10476-018-0104-5zbMath1413.30115OpenAlexW2801746082WikidataQ115605370 ScholiaQ115605370MaRDI QIDQ1748008

E. V. Berestova

Publication date: 27 April 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-018-0104-5

zbMATH Keywords

Fourier transformentire function of exponential typePaley-Wiener spacePlancherel-Pólya inequality


Mathematics Subject Classification ID

Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15) Harmonic analysis in one variable (42A99)


Related Items

On multivariable Plancherel-Pólya inequality and truncation error upper bounds in irregular sampling



Cites Work

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  • Concentration of \(L^p\)-bandlimited functions on discrete sets
  • Fonctions entières et intégrales de Fourier multiples. II
  • On sharp constants in Marcinkiewicz-Zygmund and Plancherel-Polya inequalities
  • Signal Recovery and the Large Sieve
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