Journal of Lie Theory

no. 1
A Lévy-Khinchin Formula for the Space of Infinite Dimensional Hermitian Matrices
Journal of Lie Theory, Volume 18 (2008) no. 1, pp. 17-32
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.
DOI: 10.5802/jolt.479
Classification: 43A35, 43A90, 60B05, 60B10
Keywords: Negative definite function, positive definite function, spherical function 
@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},
     doi = {10.5802/jolt.479},
     zbl = {1214.43010},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.479/}
}
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M. Bouali. A Lévy-Khinchin Formula for the Space of Infinite Dimensional Hermitian Matrices. Journal of Lie Theory, Volume 18 (2008) no. 1, pp. 17-32. doi: 10.5802/jolt.479

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