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## Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

Functional Analysis and Its Applications. 2012. Vol. 46. No. 3. P. 161-172.
R.S. Avdeev, N. E. Gorfinkel.

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.