Asymptotic analysis of \(\Theta\)-hypergeometric functions
From MaRDI portal
Publication:1882747
DOI10.1007/s00222-003-0349-9zbMath1052.33013OpenAlexW94334257MaRDI QIDQ1882747
Publication date: 1 October 2004
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00222-003-0349-9
Harmonic analysis on homogeneous spaces (43A85) Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67)
Related Items
An analogue to the Duistermaat-Kolk-Varadarajan estimate for the spherical functions associated with the root systems of type \(A\) ⋮ Support properties and Holmgren's uniqueness theorem for differential operators with hyperplane singularities ⋮ Integrability of conformal blocks. I: Calogero-Sutherland scattering theory ⋮ Ramanujan's master theorem for Riemannian symmetric spaces ⋮ Inversion formula for the hypergeometric Fourier transform associated with a root system of type \(BC\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case
- Some applications of hypergeometric shift operators
- Fourier and Poisson transformation associated to a semisimple symmetric space
- Eigenspaces of invariant differential operators on an affine symmetric space
- An analogue of the Gauss summation formula for hypergeometric functions related to root systems
- Spherical functions on ordered symmetric spaces
- Expansions for Eisenstein integrals on semisimple symmetric spaces
- The \(c\)-function for non-compactly causal symmetric spaces
- Lecture notes on Dunkl operators for real and complex reflection groups
- A Paley-Wiener theorem for the \(\Theta\)-hypergeometric transform: the even multiplicity case
- Harmonic analysis for certain representations of graded Hecke algebras
- A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
- Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
- Spherical Functions on a Semisimple Lie Group, I
- On the inversion of the Laplace and Abel transforms for causal symmetric spaces
- A Paley-Wiener theorem for the spherical Laplace transform on causal symmetric spaces of rank 1
- The $\Theta$-spherical transform and its inversion
- The Large Scale Structure of Space-Time
- On the meromorphic extension of the spherical functions on noncompactly causal symmetric spaces