Harmonic analysis on exponential solvable homogeneous spaces: the algebraic or symmetric cases
Harmonic analysis on exponential solvable homogeneous spaces: the algebraic or symmetric cases
One of the main results of this paper is a complete description of the spectral decomposition of the quasi-regular representation of an arbitrary exponential solvable symmetric space.Benoist had shown previously that such a representation is multiplicity-free, but he was unable to compute the precise spectrum and spectral measure.More generally, the …