PSWF series of slowly growing functions

DOI10.1016/j.jmaa.2012.01.009zbMath1241.94014OpenAlexW2026711792MaRDI QIDQ764972

Gilbert G. Walter

Publication date: 16 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.01.009

zbMATH Keywords

Fourier transformdistributionsprolate spheroidal wave functions

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Cites Work

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• A new friendly method of computing prolate spheroidal wave functions and wavelets
• Chromatic series for functions of slow growth
• Sampling Bandlimited Functions of Polynomial Growth
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• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions