WATSON WAVELET TRANSFORM: CONVOLUTION PRODUCT AND TWO-WAVELET MULTIPLIERS

DOI10.1142/s0218348x23400352OpenAlexW4322626791MaRDI QIDQ6100859

Pragya Shukla, Santosh Kumar Upadhyay

Publication date: 22 June 2023

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x23400352

zbMATH Keywords

Sobolev spaceunitary representationconvolution operatorpseudo-differential operatorsWatson transformwavelet multipliercontinuous Watson wavelet

Mathematics Subject Classification ID

Integral, integro-differential, and pseudodifferential operators (47Gxx) Nontrigonometric harmonic analysis (42Cxx) Integral transforms, operational calculus (44Axx)

Cites Work

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• Variation diminishing Hankel transforms
• The wavelet transform
• Continuous and discrete Bessel wavelet transforms.
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• Wavelet multiplier associated with the Watson transform
• Continuous Watson wavelet transform
• Some Classes of Watson Transforms and Related Integral Equations for Generalized Functions
• Wavelet multipliers and signals
• Traces of localisation operators with two admissible wavelets
• 𝐿^{𝑝} boundedness of localization operators associated to left regular representations
• Biorthogonal wavelets on the spectrum
• Fibonacci wavelet method for solving Pennes bioheat transfer equation
• The relation between Bessel wavelet convolution product and Hankel convolution product involving Hankel transform
• Wavelet multipliers on 𝐿^{𝑝}(ℝⁿ)
• Pseudo-differential operators involving Watson transform
• Integral Equations Associated with Hankel Convolutions

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