Reference : AN ANALOGUE OF KREIN’S THEOREM FOR SEMISIMPLE LIE GROUPS
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/10754
AN ANALOGUE OF KREIN’S THEOREM FOR SEMISIMPLE LIE GROUPS
English
Pusti, Sanjoy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2011
Pacific Journal of Mathematics
University of California
254
2
381–395
Yes (verified by ORBilu)
International
0030-8730
1945-5844
Berkeley
CA
[en] positive definite functions ; K -positive definite functions ; τ -positive definite functions
[en] We give an integral representation of $K$-positive definite functions on a real rank $n$ connected, noncompact, semisimple Lie group with finite centre. Moreover, we characterize the $\lambda$'s for which the $\tau$-spherical function $\phi_{\sigma,\lambda}^\tau$ is positive definite for the group $G=\mathrm{Spin}_e(n,1)$ and the complex spin representation $\tau$.
Researchers
http://hdl.handle.net/10993/10754

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