Continuous wavelet transform involving canonical convolution

DOI10.1142/S1793557120501041zbMath1464.42030OpenAlexW2919303496MaRDI QIDQ4985429

Zamir Ahmad Ansari

Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557120501041

zbMATH Keywords

continuous wavelet transformlinear canonical transformcanonical convolutioncanonical waveletSchwartz-type space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Convolution as an integral transform (44A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (2)

The wave packet transform in the framework of linear canonical transform ⋮ The composition of linear canonical wavelet transforms on generalized function spaces

Cites Work

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• A novel fractional wavelet transform and its applications
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• The fractional wavelet transform on spaces of type S
• Certain Operators and Fourier Transforms on L 2
• Continuity and inversion of the wavelet transform
• Ten Lectures on Wavelets
• The linear canonical wavelet transform on some function spaces
• Relations between fractional operations and time-frequency distributions, and their applications
• Linear Canonical Transformations and Their Unitary Representations

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