D-modules and characters of semi-simple Lie groups
Laurent, Yves ; Galina, Esther
HAL, hal-00000138 / Harvested from HAL
Text on HAL
A celebrated theorem of Harich-Chandra asserts that all invariant eigendistributions on a semisimple Lie group are locally integrable functions. We show that this result is a consequence of an algebraic property of a holonomic D-module defined by Kashiwara and Hotta.
Publié le : 2004-07-02
Classification:  D-module,  symmetric pair,  character,  Lie group,  35A27;35D10;17B15,  [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00000138,
     author = {Laurent, Yves and Galina, Esther},
     title = {D-modules and characters of semi-simple Lie groups},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00000138}
}

Laurent, Yves; Galina, Esther. D-modules and characters of semi-simple Lie groups. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00000138/