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Berezin quantization and representation theory (2312.13176v1)

Published 20 Dec 2023 in math.RT

Abstract: We present an approach to Berezin quantization (a variant of quantization in the spirit of Berezin) on para-Hermitian symmetric spaces using the notion of an "overgroup". This approach gives covariant and contravariant symbols and the Berezin transform in a natural and transparent way

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