Weighted integrability of the Cherednik-Opdam transform in terms of the moduli of smoothness
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Publication:6540310
DOI10.1007/s13324-024-00901-6zbMATH Open1539.4201MaRDI QIDQ6540310
Publication date: 15 May 2024
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
moduli of continuitygeneralized translation operatorweighted integrabilitygeneralized Lipschitz spacesCherednik-Opdam transforms
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Spectrum, resolvent (47A10)
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
- Ramanujan's master theorem for the hypergeometric Fourier transform associated with root systems
- Sufficient conditions for the Lebesgue integrability of Fourier transforms
- Uncertainty principles for the Cherednik transform
- Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates
- Huygens' principle for the wave equation associated with the trigonometric Dunkl-Cherednik operators
- Real Paley-Wiener theorems and Roe's theorem associated with the Opdam-Cherednik transform
- Growth properties of Fourier transforms via moduli of continuity
- Fourier transforms of Dini-Lipschitz functions
- A new proof of a Paley-Wiener type theorem for the Jacobi transform
- Lecture notes on Dunkl operators for real and complex reflection groups
- Harmonic analysis for certain representations of graded Hecke algebras
- Lipschitz conditions in Damek-Ricci spaces
- A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- Qualitative uncertainty principles for the hypergeometric Fourier transform
- Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds
- Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
- Spectral theorems associated with the Jacobi-Cherednik operator
- An elementary approach to the hypergeometric shift operators of Opdam
- Growth properties of the Fourier transform
- Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
- Harmonic analysis associated with the Cherednik operators and the Heckman–Opdam theory
- Positivity of the Jacobi–Cherednik intertwining operator and its dual
- Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
- Uncertainty principles for the Opdam–Cherednik transform on modulation spaces
- Growth Properties of the Cherednik-Opdam Transform in the Space Lp
- THE POSITIVITY OF THE HYPERGEOMETRIC TRANSLATION OPERATORS ASSOCIATED TO THE CHEREDNIK OPERATORS AND THE HECKMAN-OPDAM THEORY ATTACHED TO THE ROOT SYSTEMS OF TYPE B2AND C2
- Fourier and Radon transform on harmonic 𝑁𝐴 groups
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