Geodesic
Boundedness of the Cauchy Harish-Chandra Integral
Florent Bernon1 ; Tomasz Przebinda2
1Dép. de Mathématiques, Université de Versailles, 78035 Versailles, France
2Dept. of Mathematics, University of Oklahoma, Norman, OK 73019, U.S.A.
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

Florent Bernon  1   ; Tomasz Przebinda  2

1 Dép. de Mathématiques, Université de Versailles, 78035 Versailles, France
2 Dept. of Mathematics, University of Oklahoma, Norman, OK 73019, U.S.A. 
Florent Bernon; Tomasz 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/JOLT_2011_21_3_a0/
@article{JOLT_2011_21_3_a0,
     author = {Florent Bernon and Tomasz Przebinda},
     title = {Boundedness of the {Cauchy} {Harish-Chandra} {Integral}},
     journal = {Journal of Lie Theory},
     pages = {499--613},
     year = {2011},
     volume = {21},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2011_21_3_a0/}
}
TY  - JOUR
AU  - Florent Bernon
AU  - Tomasz Przebinda
TI  - Boundedness of the Cauchy Harish-Chandra Integral
JO  - Journal of Lie Theory
PY  - 2011
SP  - 499
EP  - 613
VL  - 21
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JOLT_2011_21_3_a0/
ID  - JOLT_2011_21_3_a0
ER  - 
%0 Journal Article
%A Florent Bernon
%A Tomasz Przebinda
%T Boundedness of the Cauchy Harish-Chandra Integral
%J Journal of Lie Theory
%D 2011
%P 499-613
%V 21
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2011_21_3_a0/
%F JOLT_2011_21_3_a0