The wavelet transform of distributions

DOI10.2748/tmj/1113246676zbMath1078.42029OpenAlexW2048841029MaRDI QIDQ1769457

Ram Shankar Pathak

Publication date: 21 March 2005

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/af01a3abf3652a76f760617cc3b773a46669f9b8

zbMATH Keywords

boundednessdistributionswavelet transforms

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12)

Related Items (26)

Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space ⋮ Curvelet transform on tempered distributions ⋮ Composition of quadratic-phase Fourier wavelet transform ⋮ The composition of linear canonical wavelet transforms on generalized function spaces ⋮ Characterization of wave front sets by wavelet transforms ⋮ The Bessel wavelet transform of distributions in βμ′-space ⋮ Continuous characterization of Besov spaces by the mean of the wavelet transform with rotations ⋮ Distributional wavelet transform ⋮ On the space of periodic distributions with multi-dimensional wavelet packet transform ⋮ Unnamed Item ⋮ Boundedness of the wavelet integral operator on weighted function spaces ⋮ A note on directional wavelet transform: distributional boundary values and analytic wavefront sets ⋮ The Continuous Fractional Wavelet Transform on W-Type Spaces ⋮ Continuous Bessel wavelet transform of distributions ⋮ Progressive Gelfand-Shilov spaces and wavelet transforms ⋮ Fractional continuous wavelet transform on some function spaces ⋮ Paley–Wiener–Schwartz type theorem for the wavelet transform ⋮ On continuous wavelet transforms of distributions ⋮ Wavelet transforms on Gelfand-Shilov spaces and concrete examples ⋮ Continuous wavelet transform of Schwartz tempered distributions ⋮ Paley-Wiener-Schwartz type theorem for ultradistributional wavelet transform ⋮ Mexican hat wavelet transform of distributions ⋮ Wavelet transform on spaces of type \(W\) ⋮ Wave packet transform and fractional wave packet transform of rapidly decreasing functions ⋮ Fractional Hankel wavelet transform on the Schwartz type space ⋮ On the exchange property for the wavelet transform

Cites Work

• Wavelet transforms in Euclidean spaces -- their relation with wave front sets and Besov, Triebel-Lizorkin spaces
• BESOV NORMS IN TERMS OF THE CONTINUOUS WAVELET TRANSFORM. APPLICATION TO STRUCTURE FUNCTIONS
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