Eisenstein integrals and induction of relations

Details Eisenstein integrals and induction of relations Eisenstein integrals and induction of relations

2003-04-15

arxiv.org/abs/math/0304188v1

Mathematics

Representation Theory

Latex2e, 22 pp, Proc. Conf. `Analyse Harmonique Non Commutative (colloque en l'honneur de Jacques Carmona)' CIRM, Luminy, 20-2

Scientific paper

I give 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. I explain the application of this principle of induction to the proofs of a Fourier inversion formula and a Paley-Wiener theorem. Finally, the relation with the Plancherel decomposition is discussed.

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