On the windowed Fourier transform and wavelet transform of almost periodic functions

DOI10.1006/acha.2000.0326zbMath0983.42020OpenAlexW1965595165WikidataQ56319421 ScholiaQ56319421MaRDI QIDQ5929151

Banu Ünalmış, Jonathan R. Partington

Publication date: 16 April 2002

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.2000.0326

zbMATH Keywords

almost periodic functionbounded power signalParseval identityshift-invariant operatorwavelet transformwindowed Fourier transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (14)

Uniform limit power-type function spaces ⋮ Gabor systems and almost periodic functions ⋮ Quaternionic linear canonical wave packet transform ⋮ AP-frames and stationary random processes ⋮ Integrate-and-fire models with an almost periodic input function ⋮ Generalized frames in the space of strong limit power functions ⋮ Representations of almost-periodic functions using generalized shift-invariant systems in \(\mathbb{R}^{d}\) ⋮ Linear canonical Stockwell transform ⋮ A Bohr-like compactification and summability of Fourier series ⋮ Time frequency representations of almost periodic functions ⋮ Linear canonical wave packet transform ⋮ Some remarks on ``On the windowed Fourier transform and wavelet transform of almost periodic functions, by J. R. Partington and B. Ünalmış ⋮ Frames of translates for model sets ⋮ Gabor frames for model sets

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