CHARACTERIZATIONS OF THE INVERSION FORMULA OF THE CONTINUOUS BESSEL WAVELET TRANSFORM OF DISTRIBUTIONS IN Hμ′(ℝ+)

DOI10.1142/s0218348x23400303zbMath1527.46027OpenAlexW4322619386MaRDI QIDQ6100855

Jay Singh Maurya, 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/s0218348x23400303

zbMATH Keywords

distributionHankel transformtest functionsBessel wavelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (1)

The Bessel wavelet transform of distributions in DL2′-type space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A fractional power theory for Hankel transform in \(L^ 2(\mathbb{R}^ +)\)
• On the Hankel transform of distributions
• On Hankel convolution equations in distribution spaces
• Convolution Hankel transforms on the Zemanian spaces
• Sobolev type spaces associated with Bessel operators
• A new characterization of the bounded operators commuting with Hankel translation
• Continuous and discrete Bessel wavelet transforms.
• Linear time invariant filter associated with Bessel wavelet transform
• Algebraic characterization of convolution and multiplication operators on Hankel-transformable function and distribution spaces
• A generalized Hankel convolution on Zemanian spaces
• Abelian theorems for the Bessel wavelet transform
• Continuous wavelet transform of Schwartz tempered distributions in \(S^\prime (\mathbb{R}^n)\)
• Hankel transforms of arbitrary order
• On the \(L^p\) theory of Hankel transforms
• On continuous Bessel wavelet transformation associated with the Hankel–Hausdorff operator
• The continuous wavelet transform and window functions
• Integrability of the continuum Bessel wavelet kernel
• On hankel transforms of ultradistributions
• The n-Dimensional Distributional Hankel Transformation
• Some Properties of Hankel Convolution Operators
• The Hankel Convolution and the Zemanian Spaces β_μ and β'_μ
• On Spaces of Type $H_\mu $ and Their Hankel Transformations
• A convolution operation for a distributional Hankel transformation
• Uncertainty principles for the quadratic‐phase Fourier transforms
• Structure, boundedness, and convergence in the dual of a Hankel-K{M_p} space
• Biorthogonal wavelets on the spectrum
• Fibonacci wavelet method for solving Pennes bioheat transfer equation
• Bessel wavelet transform on the spaces with exponential growth
• Continuous wavelet transform of Schwartz tempered distributions
• The relation between Bessel wavelet convolution product and Hankel convolution product involving Hankel transform
• A Distributional Hankel Transformation
• The Hankel Transformation of Certain Distributions of Rapid Growth
• The Hankel Transformation of Negative Order for Distributions of Rapid Growth
• Hankel convolution on distribution spaces with exponential growth
• Parseval's Theorem for Hankel Transforms
• On Hankel Transformable Spaces and a Cauchy Problem

This page was built for publication: CHARACTERIZATIONS OF THE INVERSION FORMULA OF THE CONTINUOUS BESSEL WAVELET TRANSFORM OF DISTRIBUTIONS IN Hμ′(ℝ+)