Pointwise convergence of a class of non-orthogonal wavelet expansions

DOI10.1090/S0002-9939-00-05506-4zbMath0964.42022OpenAlexW1520111501MaRDI QIDQ4508172

Ahmed I. Zayed

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05506-4

zbMATH Keywords

Shannon waveletpointwise convergencewavelet expansionnon-orthogonal wavelets

Mathematics Subject Classification ID

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

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Pointwise convergence of wavelets of generalized Shannon type ⋮ Higher Dimensional Continuous Wavelet Transform in Wiener Amalgam Spaces ⋮ Biorthonormal systems in Freud-type weighted spaces with infinitely many zeros -- an interpolation problem ⋮ Divergence of wavelet series: a multifractal analysis ⋮ Pointwise convergence of the Calderón reproducing formula ⋮ Characterization of Function Spaces Using Wavelets ⋮ Annihilator, Completeness and Convergence of Wavelet System ⋮ CONVERGENCE OF THE CONTINUOUS WAVELET TRANSFORMS ON THE ENTIRE LEBESGUE SET OF L_p-FUNCTIONS ⋮ Multi-dimensional Summability Theory and Continuous Wavelet Transform ⋮ Multiresolution expansions of distributions: pointwise convergence and quasiasymptotic behavior

Cites Work

• Local convergence for wavelet expansions
• Pointwise convergence of wavelet expansions
• Ten Lectures on Wavelets
• Pointwise convergence of wavelet expansions
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