A family of generalized windowed transforms associated with the Dunkl operators on ℝd

DOI10.1080/10652469.2011.577427zbMath1247.33037OpenAlexW2042531864MaRDI QIDQ2880455

Rayaane Maalaoui, Khalifa Trimèche

Publication date: 13 April 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.577427

zbMATH Keywords

Fourier transformDunkl operatorsgeneralized windowed transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Other functions coming from differential, difference and integral equations (33E30) Classical hypergeometric functions, ({}_2F_1) (33C05) Reflection groups, reflection geometries (51F15)

Related Items (1)

Wavelets and generalized windowed transforms associated with the Dunkl-Bessel-Laplace operator on \(\mathbb{R}^d \times \mathbb{R}_{+}\)

Cites Work

• Markov processes related with Dunkl operators
• The Dunkl transform
• Exact operator solution of the Calogero-Sutherland model
• A uniform proof of the Macdonald-Mehta-Opdam identity for finite Coxeter groups
• Convolution operator and maximal function for the Dunkl transform
• Integral Kernels with Reflection Group Invariance
• Common algebraic structure for the Calogero - Sutherland models
• Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
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