Integrability of the continuum Bessel wavelet kernel

DOI10.1142/S0219691315500320zbMath1329.42039MaRDI QIDQ3451216

Reshma Singh, Santosh Kumar Upadhyay

Publication date: 10 November 2015

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

Hankel transformHankel convolutionBessel wavelet transformBessel waveletpartial inverse transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Convolution as an integral transform (44A35)

Related Items (8)

The Bessel wavelet transform of distributions in βμ′-space ⋮ The relation between Bessel wavelet convolution product and Hankel convolution product involving Hankel transform ⋮ CHARACTERIZATIONS OF THE INVERSION FORMULA OF THE CONTINUOUS BESSEL WAVELET TRANSFORM OF DISTRIBUTIONS IN Hμ′(ℝ+) ⋮ The Bessel wavelet transform of distributions in DL2′-type space ⋮ The product of generalized wavelet transform involving fractional Hankel-type transform on some function spaces ⋮ Continuous Bessel wavelet transform of distributions ⋮ Abelian theorems and Calderón's reproducing formula for linear canonical wavelet transform ⋮ Canonical Hankel wavelet transformation and Calderón’s reproducing formula

Cites Work

• Unnamed Item
• Variation diminishing Hankel transforms
• Continuous and discrete Bessel wavelet transforms.
• Integrability of the continuum wavelet kernel
• \(L_\mu^p\)-boundedness of the pseudo-differential operator associated with the Bessel operator

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