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arXiv:1801.08780 [math.RT]AbstractReferencesReviewsResources

After Plancherel formula

Yury A. Neretin

Published 2018-01-26Version 1

We discuss two topics related to Fourier transforms on Lie groups and on homogeneous spaces: the operational calculus and the Gelfand--Gindikin problem (program) about separation of non-uniform spectra. Our purpose is to indicate some non-solved problems of non-commutative harmonic analysis that definitely are solvable. This is a sketch of my talks on VI School "Geometry and Physics", Bialowieza, Poland, June 2017.

Comments: 11p
Categories: math.RT, math.FA
Subjects: 22E30, 22E46, 43A30, 43A80, 43A85
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