Analysis on the crown domain

Authors
Publication date 2008
Journal Geometric and Functional Analysis
Volume | Issue number 18 | 4
Pages (from-to) 1326-1421
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract This paper is a further development of complex methods in harmonic analysis on semi-simple Lie groups [AG], [BeR], [KrS1,2]. We study the growth behaviour of the holomorphic extension of the orbit map of the spherical vector of an irreducible spherical representation of a real reductive group G when approaching the boundary of the crown domain of the Riemannian symmetric space G/K. As an application, we prove that Maass cusp forms have exponential decay.
Document type Article
Published at https://doi.org/10.1007/s00039-008-0684-5
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