An extended poisson type sum formula for general transforms and aliasing error bound for the generalized sampling theorem

DOI10.1080/00036818808839710zbMath0671.42023OpenAlexW2004679701WikidataQ58189984 ScholiaQ58189984MaRDI QIDQ3824841

A. J. Jerri

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00036818808839710

zbMATH Keywords

Hankel transformssampling theoremBessel transformFourier integralPoisson sum formula

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical interpolation (65D05) General harmonic expansions, frames (42C15) Application of orthogonal and other special functions (94A11)

Cites Work

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• Sampling expansions and generalized translation invariance
• Application of the sampling theorem to time-varying systems
• On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem
• Five short stories about the cardinal series
• A hybrid numerical/analytic technique for the computation of wave fields in stratified media based on the Hankel transform
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• On general transforms hill functions
• Towards a discrete hanke! transform and its applications

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