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A simplified approach to the holomorphic discrete series

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arxiv 2312.16350 v1 pith:7OLE672G submitted 2023-12-26 math.RT

Adam Koranyi This is my paper · ORCID
classification math.RT
keywords holomorphicanalyticapproachconditiondiscreteexpositoryharish-chandrahermitian
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A simple new proof of the Harish-Chandra condition, preceded by an expository part on Hermitian symmetric spaces, holomorphic induction, and on some analytic tools.

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  1. Wehrl inequalities for matrix coefficients of holomorphic discrete series

    math.RT 2024-12 conditional novelty 7.0 of 10

    Sharp L^2-L^{2n} Wehrl inequalities hold for matrix coefficients of vector-valued holomorphic discrete series, with maximizers exactly the reproducing kernels.

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