SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS
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Publication:5216617
DOI10.11568/kjm.2016.24.4.693zbMath1432.44003OpenAlexW2582932276MaRDI QIDQ5216617
Publication date: 18 February 2020
Published in: Korean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11568/kjm.2016.24.4.693
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15)
Cites Work
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- Characterization of the support for the hypergeometric Fourier transform of the \(W\)-invariant functions and distributions on \(\mathbb R ^d\) and Roe's theorem
- Paley-Wiener theorems of generalized Fourier transform associated with a Cherednik type operator on the real line
- Generalized Hermite polynomials and the heat equation for Dunkl operators
- The Dunkl transform
- Liouville's property and Poisson's equation for the generalized Dunkl Laplacian.
- Paley-Wiener-type theorems for a class of integral transforms
- Convolution operator and maximal function for the Dunkl transform
- Characterization of Eigenfunctions of the Laplacian by Boundedness Conditions
- Tempered distributional Fourier sine (cosine) transform
- A Property of Infinitely Differentiable Functions
- Real Paley–Wiener theorems and local spectral radius formulas
- Differential-Difference Operators Associated to Reflection Groups
- A characterization of the sine function
- Integral Kernels with Reflection Group Invariance
- Characterization of Eigenfunctions by Boundedness Conditions
- Tempered distributions with spectral gaps
- Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
- AN ANALOGUE OF COWLING–PRICE'S THEOREM AND HARDY'S THEOREM FOR THE GENERALIZED FOURIER TRANSFORM ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR
- Roe's theorem revisited
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