Asymptotic expansions of matrix coefficients of Whittaker vectors at irregular singularities

DOI10.1007/BF02393306zbMath0885.22019OpenAlexW1994450029MaRDI QIDQ1372994

Tze-Ming To

Publication date: 5 November 1997

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02393306

zbMATH Keywords

differential equationssemisimple Lie groupsasymptotic expansionsWhittaker functionsirregular singularities

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

Calculus of principal series Whittaker functions on \(\mathrm{SL}(n, \mathbb R)\) ⋮ Large values of cusp forms on \(\mathrm{GL}_n\) ⋮ On the nonexistence of automorphic eigenfunctions of exponential growth on \(\mathrm{SL}(3,\mathbb Z)\setminus \mathrm{SL}(3,\mathbb R)/\mathrm{SO}(3,\mathbb R)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows
• The solution to a generalized Toda lattice and representation theory
• Whittaker vectors and conical vectors
• Classical and quantum-mechanical systems of Toda lattice type. I
• On Whittaker vectors and representation theory
• Classical and quantum mechanical systems of Toda-lattice type. III: Joint eigenfunctions of the quantized systems
• Spherical Functions on a Semisimple Lie Group, I
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Fonctions de Whittaker associées aux groupes de Chevalley

This page was built for publication: Asymptotic expansions of matrix coefficients of Whittaker vectors at irregular singularities