Distributional Mexican hat wavelet transform

DOI10.1007/S41478-019-00192-2zbMath1457.46057OpenAlexW2966074979MaRDI QIDQ779801

Abhishek Singh

Publication date: 14 July 2020

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

Full work available at URL: https://doi.org/10.1007/s41478-019-00192-2

zbMATH Keywords

asymptotic behaviourwavelet transformdistribution spaceWeierstrass transformMexican hat wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) General harmonic expansions, frames (42C15)

Related Items (1)

Mexican hat wavelet transform and its applications

Cites Work

• Wavelet transform of generalized functions in \(K'\{M_p\}\) spaces
• The wavelet transform
• Wavelet transform of Beurling-Björck type ultradistributions
• Mexican hat wavelet transform of distributions
• Asymptotic behaviour of the distributional weierstrass transform
• A Generalized Weierstrass Transformation for the Case of Several Independent Variables
• Paley–Wiener–Schwartz type theorem for the wavelet transform
• Regularly varying functions
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