Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 46-57
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S. I. Karpushev. Conditionally positively definite functions on locally compact groups and the Levy–Khinchin formula. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 46-57. http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a2/
@article{ZNSL_1983_123_a2,
author = {S. I. Karpushev},
title = {Conditionally positively definite functions on locally compact groups and the {Levy{\textendash}Khinchin} formula},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {46--57},
year = {1983},
volume = {123},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a2/}
}
TY - JOUR
AU - S. I. Karpushev
TI - Conditionally positively definite functions on locally compact groups and the Levy–Khinchin formula
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 46
EP - 57
VL - 123
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a2/
LA - ru
ID - ZNSL_1983_123_a2
ER -
%0 Journal Article
%A S. I. Karpushev
%T Conditionally positively definite functions on locally compact groups and the Levy–Khinchin formula
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 46-57
%V 123
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a2/
%G ru
%F ZNSL_1983_123_a2
The Levy–Khinchin formula for conditionally positively definite functions on compactly generated groups is proved. The proof is based on the Choquet's theory. Some examples and applications to 1-cohomology of unitary representations of locally compact groups are considered.
