English

Holomorphic Extension of Eigenfunctions

Representation Theory 2009-10-21 v1

Abstract

Let X be a Riemannian symmetric space of non-compact type. We prove a theorem of holomorphic extension for eigenfunctions of the Laplace-Beltrami operator on X, by techniques from the theory of partial differential equations.

Keywords

Cite

@article{arxiv.0812.0724,
  title  = {Holomorphic Extension of Eigenfunctions},
  author = {Bernhard Kroetz and Henrik Schlichtkrull},
  journal= {arXiv preprint arXiv:0812.0724},
  year   = {2009}
}

Comments

8p, no figures

R2 v1 2026-06-21T11:47:57.199Z