Mexican hat wavelet transform of distributions

DOI10.1080/10652469.2016.1155569zbMath1351.46037OpenAlexW2329496017MaRDI QIDQ2812127

Abhishek Singh, Ram Shankar Pathak

Publication date: 16 June 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2016.1155569

zbMATH Keywords

wavelet transformdistribution spacesWeierstrass transformMexican hat wavelet transformtest function space

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)

Related Items (11)

Solving generalized wave and heat equations using linear canonical transform and sampling formulae ⋮ On the wavelet transform for Boehmians ⋮ Wavelet transform of multiplicators and convolutors for ultradistributions ⋮ Mexican hat wavelet transform and its applications ⋮ Wavelet transform of L_c,d -space ⋮ Paley–Wiener–Schwartz type theorem for the wavelet transform ⋮ Paley-Wiener-Schwartz type theorem for ultradistributional wavelet transform ⋮ Mexican hat wavelet transform of generalized functions in \(\mathcal{G}^{\prime}\) spaces ⋮ The continuous wavelet transform on ultradistribution spaces ⋮ Unnamed Item ⋮ Distributional Mexican hat wavelet transform

Cites Work

• Unnamed Item
• Tauberian theorems for the wavelet transform
• The wavelet transform of distributions
• Wavelets generated by using discrete singular convolution kernels
• The Ridgelet transform of distributions
• A Generalized Weierstrass Transformation for the Case of Several Independent Variables

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