Article

Functional Analysis and Its Applications

, Volume 46, Issue 3, pp 161-172

First online:

Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

  • R. S. AvdeevAffiliated withDepartment of Mechanics and Mathematics, Moscow State University Email author 
  • , N. E. GorfinkelAffiliated withDepartment of Mechanics and Mathematics, Moscow State University

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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.

Key words

algebraic group homogeneous space spherical subgroup representation semigroup