Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications
DOI10.1016/j.aim.2013.10.027zbMath1290.33014arXiv1201.3891OpenAlexW1984875631MaRDI QIDQ2445292
E. K. Narayanan, Sanjoy Pusti, Angela Pasquale
Publication date: 14 April 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1201.3891
spherical functionshypergeometric functionsroot systemsCherednik operatorshypergeometric Fourier transformHarish-Chandra expansions
Other transforms and operators of Fourier type (43A32) Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67)
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Cites Work
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- The spherical Fourier transform of rapidly decreasing functions. A simple proof of a characterization due to Harish-Chandra, Helgason, Trombi, and Varadarajan
- Positive convolution structure for a class of Heckman-Opdam hypergeometric functions of type BC
- Schwartz space for the hypergeometric Fourier transform. (With an appendix by Mustapha Tinfou)
- An \(L^ p \)Fourier analysis on symmetric spaces
- Lecture notes on Dunkl operators for real and complex reflection groups
- Harmonic analysis for certain representations of graded Hecke algebras
- A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
- An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces
- The bounded spherical functions on symmetric spaces
- On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
- The convolution structure for Jacobi function expansions
- Differential Operators on a Semisimple Lie Algebra
- Spherical Functions on a Semisimple Lie Group, I
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