A Lévy-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 Lévy-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
M. Bouali. A Lévy-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/JOLT_2008_18_1_a1/
@article{JOLT_2008_18_1_a1,
author = {M. Bouali},
title = {A {L\'evy-Khinchin} {Formula} for the {Space} of {Infinite} {Dimensional} {Hermitian} {Matrices}},
journal = {Journal of Lie Theory},
pages = {17--32},
year = {2008},
volume = {18},
number = {1},
zbl = {1214.43010},
url = {http://geodesic.mathdoc.fr/item/JOLT_2008_18_1_a1/}
}