##### Department of Mathematics,

University of California San Diego

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### Math 248 - Analysis and Lie Group

## Yves Laurent

#### University of Grenoble, France

## Locally integrable solutions of D-modules and characters of semi-simple Lie groups

##### Abstract:

A famous theorem of Harish-Chandra asserts that all invarianteigendistributions on a semisimple Lie group are locally integrablefunctions. We show that this result and its extension to symmetricpairs are consequences of a general result about systems of PDEwhose solutions are all locally integrable.

Host: Linda Rothschild and Salah Bao

### January 28, 2003

### 9:30 AM

### AP&M 6218

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