Tauberian theorems for the wavelet transform

DOI10.1007/s00041-010-9146-1zbMath1219.42030OpenAlexW1970875920MaRDI QIDQ628713

Jasson Vindas, Dušan Rakić, Stevan Pilipović

Publication date: 14 March 2011

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

Full work available at URL: https://biblio.ugent.be/publication/1984342

zbMATH Keywords

distributionswavelet transformTauberian theoremsslowly varying functionsquasiasymptoticsAbelian theorems

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Operations with distributions and generalized functions (46F10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Tauberian theorems (40E05)

Related Items

The wavelet transforms in Gelfand-Shilov spaces ⋮ Asymptotic relations for the distributional Stockwell and wavelet transforms ⋮ Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions ⋮ Approximately invertible elements in non-unital normed algebras ⋮ New classes of weighted Hölder-Zygmund spaces and the wavelet transform ⋮ A note on directional wavelet transform: distributional boundary values and analytic wavefront sets ⋮ Wavelet transform of L_c,d -space ⋮ The Ridgelet transform of distributions ⋮ Regularizations at the origin of distributions having prescribed asymptotic properties ⋮ Classes of Generalized Functions with Finite Type Regularities ⋮ Paley–Wiener–Schwartz type theorem for the wavelet transform ⋮ Tauberian class estimates for vector-valued distributions ⋮ Directional short-time Fourier transform and quasiasymptotics of distributions ⋮ Paley-Wiener-Schwartz type theorem for ultradistributional wavelet transform ⋮ Mexican hat wavelet transform of distributions ⋮ Tauberian theorems for the Stockwell transform of Lizorkin distributions ⋮ Abelian theorems for the Bessel wavelet transform ⋮ Characterisation of wave front sets by the Stockwell transform ⋮ Abelian and Tauberian results for the one-dimensional modified Stockwell transforms ⋮ Multiresolution expansions of distributions: pointwise convergence and quasiasymptotic behavior

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