b-functions and integrable solutions of holonomic D-modules
Laurent, Yves
HAL, hal-00002168 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-02
Classification:  Vanishing cycles,  b-function,  symmetric pair,  D-modules,  35A27,35D10, 17B15,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],  [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR] 
@article{hal-00002168,
     author = {Laurent, Yves},
     title = {b-functions and integrable solutions of holonomic D-modules},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00002168}
}

Laurent, Yves. b-functions and integrable solutions of holonomic D-modules. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00002168/