On the exchange property for the wavelet transform

DOI10.1007/s41478-022-00428-8OpenAlexW4280573007MaRDI QIDQ2093884

Abhishek Singh, Sangeeta Dhawan, Aparna Rawat

Publication date: 27 October 2022

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

Full work available at URL: https://doi.org/10.1007/s41478-022-00428-8

zbMATH Keywords

convolutionwavelet transformexchange propertytempered Boehmians

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Distributions, generalized functions, distribution spaces (46F99)

Cites Work

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• Wavelet transform of generalized functions in \(K'\{M_p\}\) spaces
• The wavelet transform
• Distributional wavelet transform
• The wavelet transform of distributions
• Wavelet transform of Beurling-Björck type ultradistributions
• On the Fourier transform and the exchange property
• The Hankel transform of tempered Boehmians via the exchange property
• On the Hankel transform for Boehmians
• An extension of distributional wavelet transform
• CONVOLUTION THEOREMS FOR WAVELET TRANSFORM ON TEMPERED DISTRIBUTIONS AND THEIR EXTENSION TO TEMPERED BOEHMIANS
• Paley–Wiener–Schwartz type theorem for the wavelet transform

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