Special Functions in Minimal Representations

Abstract

Minimal representations of a real reductive group G are the `smallest' irreducible unitary representations of G. We discuss special functions that arise in the analysis of L^2-model of minimal representations.

To appear in Contemporary Mathematics, Amer. Math. Soc; http://preprints.ihes.fr/2013/M/M-13-04.pdf

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• Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups
• Algebraic analysis of minimal representations
• Split Quaternionic Analysis and Separation of the Series for SL(2,R) and SL(2,C)/SL(2,R)
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Cited by in corpus (3)

• Conformally invariant differential operators on Heisenberg groups and minimal representations
• Polynomial realisations of Lie (super)algebras and Bessel operators
• Recent advances in branching problems of representations