On discrete and continuous norms in Paley-Wiener spaces and consequences for exponential frames

DOI10.1007/BF01261609zbMath0934.42019OpenAlexW2129131479MaRDI QIDQ1293828

J. J. Voss

Publication date: 11 April 2000

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59604

zbMATH Keywords

sampling theorementire functions of exponential typePaley-Wiener spacecontinuous normdiscrete normexponential frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items

Entire \(L^p\)-functions of exponential type ⋮ Frames of exponentials: Lower frame bounds for finite subfamilies and approximation of the inverse frame operator

Cites Work

• Unnamed Item
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• On lower bounds of exponential frames
• A sampling theorem with nonuniform complex nodes
• Fonctieres entières et intégrales de Fourier multiples
• A Class of Nonharmonic Fourier Series
• Integrability Along a Line for a Class of Entire Functions
• Power Series with Bounded Coefficients