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

DOI10.1007/s00009-015-0540-4zbMath1329.42036OpenAlexW1987123414MaRDI QIDQ892129

Amina Hassini, Khalifa Trimèche

Publication date: 18 November 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0540-4

zbMATH Keywords

convolutiontranslation operatorDunkl-Bessel transformDunkl-Bessel-Laplace operatorGaussian waveletspartial differential-difference operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Partial functional-differential equations (35R10) Other functions coming from differential, difference and integral equations (33E30)

Related Items (3)

Harmonic Analysis Associated with the Heckman-Opdam-Jacobi Operator on $\mathbb{R}^{d+1}$ ⋮ Localization operators and inversion formulas for the Dunkl-Weinstein-Stockwell transform ⋮ GENERALIZED WAVELETS AND THE GENERALIZED WAVELET TRANSFORM ON ℝ^dFOR THE HECKMAN-OPDAM THEORY

Cites Work

• Positivity of Dunkl's intertwining operator
• A family of generalized windowed transforms associated with the Dunkl operators on ℝ^d
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
• Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A Note on the Quantum Rule of the Harmonic Oscillator
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