Boundedness of the Cauchy Harish-Chandra Integral
Journal of Lie theory, Tome 21 (2011) no. 3, pp. 499-613
Voir la notice de l'article provenant de la source Heldermann Verlag
This is the first of our three articles showing that the Cauchy Harish-Chandra integral maps invariant eigendistributions to invariant eigendistributions with the correct infinitesimal character. Here we prove that all the derivatives of the Cauchy Harish-Chandra integral are bounded.
Classification :
22E45, 22E46
Mots-clés : Dual pairs, orbital integrals
Mots-clés : Dual pairs, orbital integrals
@article{JLT_2011_21_3_JLT_2011_21_3_a0,
author = {F. Bernon and T. Przebinda },
title = {Boundedness of the {Cauchy} {Harish-Chandra} {Integral}},
journal = {Journal of Lie theory},
pages = {499--613},
publisher = {mathdoc},
volume = {21},
number = {3},
year = {2011},
url = {http://geodesic.mathdoc.fr/item/JLT_2011_21_3_JLT_2011_21_3_a0/}
}
F. Bernon; T. Przebinda . Boundedness of the Cauchy Harish-Chandra Integral. Journal of Lie theory, Tome 21 (2011) no. 3, pp. 499-613. http://geodesic.mathdoc.fr/item/JLT_2011_21_3_JLT_2011_21_3_a0/