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Berezin Quantization and Holomorphic Representations

Berezin Quantization and Holomorphic Representations

Let G be a quasi-Hermitian Lie group and let {\pi} be a unitary highest weight representation of G realized in a reproducing kernel Hilbert space of holomorphic functions. We study the Berezin symbol map S and the corresponding Stratonovich–Weyl map W which is defined on the space of Hilbert–Schmidt operators …