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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 123, Pages 46–57 (Mi znsl4133)  
Conditionally positively definite functions on locally compact groups and the Levy–Khinchin formula

S. I. Karpushev
Full-text PDF (809 kB)
Abstract: 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.
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: S. I. Karpushev, “Conditionally positively definite functions on locally compact groups and the Levy–Khinchin formula”, Differential geometry, Lie groups and mechanics. Part V, Zap. Nauchn. Sem. LOMI, 123, "Nauka", Leningrad. Otdel., Leningrad, 1983, 46–57
Citation in format AMSBIB
\Bibitem{Kar83}
\by S.~I.~Karpushev
\paper Conditionally positively definite functions on locally compact groups and the Levy--Khinchin formula
\inbook Differential geometry, Lie groups and mechanics. Part~V
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 123
\pages 46--57
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4133}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=697240}
\zmath{https://zbmath.org/?q=an:0509.43003}
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  • https://www.mathnet.ru/eng/znsl/v123/p46
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