The Watson Fourier transform on a certain class of generalized functions

DOI10.1007/s12215-020-00567-6zbMath1477.42004OpenAlexW3110040407MaRDI QIDQ2243655

Radouan Daher, Imane Berkak, EL. Loualid

Publication date: 11 November 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00567-6

zbMATH Keywords

generalized functionBoehmian spaceWatson Fourier transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• Calderon's reproducing formula for Watson wavelet transform
• Fourier transform for integrable Boehmians
• Periodic Boehmians
• An extension of the Bessel-Wright transform in the class of Boehmians
• Continuous Watson wavelet transform
• The Support of Mikusinski Operators
• The Laplace transform on a class of Boehmians
• Tempered Boehmians and Ultradistributions
• Operational calculus and Fourier transform on Boehmians
• Stieltjes transform for Boehmians
• Pseudo-differential operators involving Watson transform
• The Distributional Laplace and Mellin Transformations

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