, Volume 46, Issue 3, pp 161-172
Date: 14 Sep 2012

Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

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Abstract

For all spherical homogeneous spaces G/H, where G is a simply connected semisimple algebraic group and H a connected solvable subgroup of G, we compute the spectra of representations of G on spaces of regular sections of homogeneous line bundles over G/H.

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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 46, No. 3, pp. 1–15, 2012
Original Russian Text Copyright © by R. S. Avdeev and N. E. Gorfinkel
This research was partially supported by RFBR grant no. 09-01-00648-a.