Fractional Jacobi-Dunkl transform: properties and application (Q2110592)

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scientific article; zbMATH DE number 7636182

Language	Label	Description	Also known as
English	Fractional Jacobi-Dunkl transform: properties and application	scientific article; zbMATH DE number 7636182

Statements

scholarly article

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Fractional Jacobi-Dunkl transform: properties and application (English)

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publication date

21 December 2022

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zbMATH Keywords

Jacobi-Dunkl operator

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fractional Jacobi-Dunkl transform

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s13540-022-00102-7

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New recurrence relations for Wilson polynomials via a system of Jacobi type orthogonal functions

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The Jacobi-Dunkl transform on \(\mathbb R\) and the convolution product on new spaces of distributions

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Convolution structure associated with the Jacobi-Dunkl operator on \(\mathbb R\)

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POSITIVITY OF THE INTERTWINING OPERATOR AND HARMONIC ANALYSIS ASSOCIATED WITH THE JACOBI-DUNKL OPERATOR ON ${\mathbb R}$

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An<i>L</i><sup><i>p</i></sup>version of Hardy's theorem for the Jacobi–Dunkl transform

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The heat semigroup for the Jacobi-Dunkl operator and the related Markov processes

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de La Vallée Poussin approximations and Jacobi-Dunkl convolution structures

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Dirichlet Theorem for Jacobi-Dunkl Expansions

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Herglotz's theorem for Jacobi-Dunkl positive definite sequences

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Beamforming using the fractional fourier transform

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<i>L</i><sup><i>p</i></sup>–<i>L</i><sup><i>q</i></sup>-version of Morgan's theorem for the Jacobi–Dunkl transform

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The Dunkl transform

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A Fractional Power for Dunkl Transforms in $ L^{2}(\R^{N}, \omega_{k}(x)dx)$

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Heisenberg uncertainty principle for a fractional power of the Dunkl transform on the real line

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A fractional power theory for Hankel transform in \(L^ 2(\mathbb{R}^ +)\)

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A new proof of a Paley-Wiener type theorem for the Jacobi transform

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A multicarrier system based on the fractional Fourier transform for time-frequency-selective channels

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On Namias's Fractional Fourier Transforms

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Spectrum of functions and distributions for the Jacobi-Dunkl transform on \(\mathbb R\)

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TRANSMUTATION OPERATORS AND PALEY–WIENER THEOREM ASSOCIATED WITH A SINGULAR DIFFERENTIAL-DIFFERENCE OPERATOR ON THE REAL LINE

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The Fractional Order Fourier Transform and its Application to Quantum Mechanics

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Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator

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Relations Between Gabor Transforms and Fractional Fourier Transforms and Their Applications for Signal Processing

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Fractional Fourier-Jacobi type transform

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Fractional fourier transform of generalized functions

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A class of fractional integral transforms: a generalization of the fractional Fourier transform

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Fractional Calculus \ Applied Analysis

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S13540-022-00102-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2110592

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