The intertwining operator for the generalized Dunkl transform on the line

DOI10.22405/2226-8383-2023-24-4-48-62MaRDI QIDQ6498962

Valeriĭ I. Ivanov

Publication date: 8 May 2024

Published in: Chebyshevskiĭ Sbornik (Search for Journal in Brave)

zbMATH Keywords

convolutiongeneralized Dunkl transformgeneralized translation operatorgeneralized means\((k, a)\)-generalized Fourier transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• Laguerre semigroup and Dunkl operators
• Classical Fourier Analysis
• Integral Kernels with Reflection Group Invariance
• A new product formula involving Bessel functions
• Norm inequalities for maximal operators
• Localization operators and scalogram associated with the deformed Hankel wavelet transform
• Nondeformed generalized Dunkl transform on the line
• On the kernel of the -Generalized fourier transform

Related Items (2)

Generalized one-dimensional Dunkl transform in direct problems of approximation theory ⋮ Generalized Dunkl transform on the line in inverse problems of approximation theory

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