Representations of almost-periodic functions using generalized shift-invariant systems in \(\mathbb{R}^{d}\)

DOI10.1007/s00041-013-9270-9zbMath1304.42092OpenAlexW1999961097MaRDI QIDQ485177

Yeon Hyang Kim

Publication date: 9 January 2015

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

Full work available at URL: https://doi.org/10.1007/s00041-013-9270-9

zbMATH Keywords

framesalmost-periodic functionswavelet systemsdual Gramiangeneralized shift-invariant (GSI) systems

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Classical almost periodic functions, mean periodic functions (42A75)

Related Items (3)

Gabor systems and almost periodic functions ⋮ AP-frames and stationary random processes ⋮ Almost periodic functions and their applications: a survey of results and perspectives

Cites Work

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• Generalized shift-invariant systems
• Multiscale Young measures in almost periodic homogenization and applications
• Time frequency representations of almost periodic functions
• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• Some remarks on ``On the windowed Fourier transform and wavelet transform of almost periodic functions, by J. R. Partington and B. Ünalmış
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• On the windowed Fourier transform and wavelet transform of almost periodic functions

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