Wavelet transform of multiplicators and convolutors for ultradistributions

DOI10.1002/mma.8751MaRDI QIDQ6182975

Nikhila Raghuthaman, Richard D. Carmichael, Abhishek Singh

Publication date: 22 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

wavelet transformdistribution spacesmultiplicatorsconvolutors

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Operations with distributions and generalized functions (46F10) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (1)

Boundedness of fractional Hankel wavelet transform on some Beurling type spaces

Cites Work

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• The wavelet transform
• Ultradistributions and quantum fields: Fourier-Laplace transforms and boundary values of analytic functions
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• Linear partial differential operators and generalized distributions
• Mexican hat wavelet transform of distributions
• An EM algorithm for wavelet-based image restoration
• Holomorphlc functions in tubes associated with ultradistributions
• Paley–Wiener–Schwartz type theorem for the wavelet transform

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