English

b-functions and integrable solutions of holonomic D-modules

Analysis of PDEs 2007-05-23 v1 Group Theory

Abstract

A famous theorem of Harish-Chandra shows that all invariant eigendistributions on a semisimple Lie group are locally integrable functions. We give here an algebraic version of this theorem in terms of polynomials associated with a holonomic D-module.

Cite

@article{arxiv.math/0407030,
  title  = {b-functions and integrable solutions of holonomic D-modules},
  author = {Yves Laurent},
  journal= {arXiv preprint arXiv:math/0407030},
  year   = {2007}
}