Eisenstein integrals and induction of relations

Abstract

A survey of joint work with Henrik Schlichtkrull on the induction of certain relations among (partial) Eisenstein integrals for the minimal principal series of a reductive symmetric space is given. The application of this principle of induction to the proof of the Fourier inversion formula in [11] and to the proof of the Paley-Wiener theorem in [15] is explained. Finally, the relation with the Plancherel decomposition is discussed.