Harmonic analysis on spherical homogeneous spaces with solvable stabilizer
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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.
Key wordsalgebraic group homogeneous space spherical subgroup representation semigroup
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