The University of Arizona

Analysis on Symmetric Spaces

Analysis on Symmetric Spaces

Series: Geometry Seminar
Location: Math 402
Presenter: Sam Evens, Department of Mathematics, University of Arizona

We give a formula for the number of occurrences of a representation V of a real group G in the space of smooth functions on a symmetric space G/H. In particular, we give a sufficient condition for V to occur with multiplicity one, generalizing the classical Cartan-Helgason theorem.

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