Finite Multiplicity Theorems and Real Spherical Varieties. Harmonic Analysis Seminar. Charles University in Prague, Czech, 14 December 2012.

We introduced the concept of ''Real Spherical Varieties” that assure finite multiplicity property of irreducible infinite dimensional representations on function spaces. More generally, I plan to discuss geometric conditions that control the multiplicities of irreducible representations of real reductive groups occurring in branching laws (restriction) and Plancherel formulas (induction).

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© Toshiyuki Kobayashi