Qualitative behavior of special functions on compact symmetric spaces |
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Authors: | Woody Lichtenstein |
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Affiliation: | Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 U.S.A. |
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Abstract: | For a symmetric space of compact type, the highest-weight vectors for representations of G occurring in become heavily concentrated near certain submanifolds of as the highest weight goes to infinity. This fact is applied to obtain estimates for the spectral measures of the operators qλ = PλqPλ, where is an orthogonal projection onto a G-irreducible summand, and q: G/K → is a continuous function acting on by multiplication. |
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