Prolate Shift Frames and Sampling of Bandlimited Functions

DOI10.1007/978-3-030-36291-1_5zbMath1453.42030OpenAlexW3026144307MaRDI QIDQ5119650

Jeffrey A. Hogan, Joseph D. Lakey

Publication date: 31 August 2020

Published in: Sampling: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-36291-1_5

zbMATH Keywords

Riesz basisdual framesPaley-Wiener spacebandlimited functionsampling reconstructionbandpass pseudo prolatesframe of shifted prolatesprolate shift frameshifted prolate spheroidal wave functionstime and frequency limiting

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Uses Software

• Algorithm 840

Cites Work

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• Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation
• Concentration problems for bandpass filters in communication theory over disjoint frequency intervals and numerical solutions
• Letter to the editor: On the numerical evaluation of bandpass prolates
• On the numerical evaluation of bandpass prolates. II
• Duration and bandwidth limiting. Prolate functions, sampling, and applications.
• Eigenvalue distribution of time and frequency limiting
• Wavelets based on prolate spheroidal wave functions
• Frame properties of shifts of prolate spheroidal wave functions
• WHAT IS... a Frame?
• On the eigenfunctions corresponding to the bandpass kernel, in the case of degeneracy
• Algorithm 840: computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions---prolate elements
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

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