Asymptotic analysis of \(\Theta\)-hypergeometric functions
type: Item
instance of: scholarly article
title: Asymptotic analysis of \(\Theta\)-hypergeometric functions
zbMATH Open document ID: 1052.33013
author: Angela Pasquale
published in: Inventiones Mathematicae
publication date: 2004-10-01T00:00:00Z
Mathematics Subject Classification ID: 33C67
Mathematics Subject Classification ID: 43A90
Mathematics Subject Classification ID: 43A85
zbMATH DE Number: 2105130
MaRDI profile type: Publication
full work available at URL: s00222-003-0349-9
OpenAlex ID: W94334257
cites work: A Paley-Wiener theorem for the spherical Laplace transform on causal symmetric spaces of rank 1
cites work: On the inversion of the Laplace and Abel transforms for causal symmetric spaces
cites work: Expansions for Eisenstein integrals on semisimple symmetric spaces
cites work: The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case
cites work: A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
cites work: Q5820721
cites work: Spherical functions on ordered symmetric spaces
cites work: On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
cites work: Q3829998
cites work: Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
cites work: Spherical Functions on a Semisimple Lie Group, I
cites work: The Large Scale Structure of Space-Time
cites work: Q4321770
cites work: Q3803293
cites work: Q3897665
cites work: Q3331943
cites work: Q4348456
cites work: Q3843833
cites work: Q3709251
cites work: Formal dimension for semisimple symmetric spaces
cites work: The \(c\)-function for non-compactly causal symmetric spaces
cites work: Fourier and Poisson transformation associated to a semisimple symmetric space
cites work: Analytic continuation in representation theory and harmonic analysis
cites work: On the meromorphic extension of the spherical functions on noncompactly causal symmetric spaces
cites work: Q4537707
cites work: A Paley-Wiener theorem for the \(\Theta\)-hypergeometric transform: the even multiplicity case
cites work: Q3822484
cites work: Q3822485
cites work: Harmonic analysis for certain representations of graded Hecke algebras
cites work: Lecture notes on Dunkl operators for real and complex reflection groups
cites work: Some applications of hypergeometric shift operators
cites work: An analogue of the Gauss summation formula for hypergeometric functions related to root systems
cites work: Eigenspaces of invariant differential operators on an affine symmetric space
cites work: The $\Theta$-spherical transform and its inversion
cites work: Q4713568
DOI: 10.1007/S00222-003-0349-9
description: scientific article; zbMATH DE number 2105130