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Absolute continuity of the representing measures of the hypergeometric translation operators attached to the root system of type B2 and C2
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Absolute continuity of the representing measures of the hypergeometric translation operators attached to the root system of type B2 and C2 which are studied in [9].
Abstract
Absolute continuity of the representing measures of the hypergeometric translation operators attached to the root system of type B2 and C2 which are studied in [9].
참고문헌 (9)
- N. Bourbaki, "Elements de Mathematiques Fascule XXI. Integration des mesures" (1967), Hermann
- I. Cherednik, "A unification of Knizhnik-Zamolodchnikov equations and Dunkl operators via affne Hecke algebras", Invent. Math, 106, pp.411~432 (1991)
- G.H.Heckman, "Root systems and hypergeometric functions. I", Compositio. Math, 64, pp.329~352 (1987)
- G.J.Heckman, "Harmonic analysis and special functions on symmetric spaces" (1994), Academic Press
- E.M.Opdam, "Harmonic analysis for certain representations of graded Hecke algebras", Acta Math, 175, pp.75~121 (1995)
- W. Rudin, "Real and complex analysis" (1974), Mc Graw Hill Inc
- B.Schapira, "Contributions to the hypergeometric function theroy of Heckman and Opdam : sharp estimates, Schwartz space, heat kernel", Geom. Funct. Anal, 18, pp.222~250 (2008)
- K. Trimeche, "Harmonic analysis associated with the Cherednik operators and the Heckman-Opdam theory", Adv. Pure Appl. Math, 2, pp.23~46 (2011)
- Khalifa Trime`che, "THE POSITIVITY OF THE HYPERGEOMETRIC TRANSLATION OPERATORS ASSOCIATED TO THE CHEREDNIK OPERATORS AND THE HECKMAN-OPDAM THEORY ATTACHED TO THE ROOT SYSTEMS OF TYPE B2 AND C2", 한국수학논문집, 22(1), pp.1~28 (2014), 강원경기수학회[DOI]
관련 논문AI추천
THE POSITIVITY OF THE HYPERGEOMETRIC TRANSLATION OPERATORS ASSOCIATED TO THE CHEREDNIK OPERATORS AND THE HECKMAN-OPDAM THEORY ATTACHED TO THE ROOT SYSTEMS OF TYPE B2 AND C2Khalifa Trime`che강원경기수학회 · 한국수학논문집2014 · 제22권 제1호The harmonic analysis associated to the Heckman-Opdam's theory and its application to a root system of type $BC_d$Khalifa Trimeche강원경기수학회 · 한국수학논문집2019 · 제27권 제1호Spectral theorems associated to the Dunkl operatorsHatem Mejjaoli강원경기수학회 · 한국수학논문집2016 · 제24권 제4호Generalized wavelets and the generalized wavelet transform on $\mathbb{R}^d$ for the Heckman-Opdam theoryAmina Hassini, Khalifa Trimeche, Rayaane Maalaoui강원경기수학회 · 한국수학논문집2016 · 제24권 제2호The Cherednik and the Gaussian Cherednik Windowed transforms on $\mathbb{R}^d$ in the W-invariant caseAmina Hassini, Khalifa Trimeche강원경기수학회 · 한국수학논문집2020 · 제28권 제4호Qualitative uncertainty principles for the inverse of the hypergeometric fourier transformHatem Mejjaoli강원경기수학회 · 한국수학논문집2015 · 제23권 제1호
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