A L�vy-Khinchin Formula for the Space of Infinite Dimensional Hermitian Matrices
Journal of Lie theory, Tome 18 (2008) no. 1, pp. 17-32
Voir la notice de l'article provenant de la source Heldermann Verlag
We give a L�vy-Kinchin formula for continuous negative definite functions defined on the space of Hilbert-Schmidt and Hermitian matrices which are invariant under the action by conjugation of the infinite dimensional unitary group.
Classification :
43A35, 43A90, 60B05, 60B10
Mots-clés : Negative definite function, positive definite function, spherical function
Mots-clés : Negative definite function, positive definite function, spherical function
@article{JLT_2008_18_1_JLT_2008_18_1_a1,
author = {M. Bouali },
title = {A {L�vy-Khinchin} {Formula} for the {Space} of {Infinite} {Dimensional} {Hermitian} {Matrices}},
journal = {Journal of Lie theory},
pages = {17--32},
publisher = {mathdoc},
volume = {18},
number = {1},
year = {2008},
url = {http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a1/}
}
TY - JOUR AU - M. Bouali TI - A L�vy-Khinchin Formula for the Space of Infinite Dimensional Hermitian Matrices JO - Journal of Lie theory PY - 2008 SP - 17 EP - 32 VL - 18 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a1/ ID - JLT_2008_18_1_JLT_2008_18_1_a1 ER -
M. Bouali . A L�vy-Khinchin Formula for the Space of Infinite Dimensional Hermitian Matrices. Journal of Lie theory, Tome 18 (2008) no. 1, pp. 17-32. http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a1/