Geodesic
A Lévy-Khinchin Formula for the Space of Infinite Dimensional Hermitian Matrices
Journal of Lie theory, Tome 18 (2008) no. 1, pp. 17-32
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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 
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     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},
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     url = {http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a1/}
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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/JLT_2008_18_1_JLT_2008_18_1_a1/