Berezin correspondence and Stratonovich-Weyl correspondence for the semi-direct product of the Heisenberg group and \(SU (p,q)\)

DOI10.2206/kyushujm.78.71MaRDI QIDQ6589613

Benjamin Cahen

Publication date: 20 August 2024

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

unitary representationBerezin transformBerezin quantizationholomorphic representationquasi-Hermitian Lie groupStratonovich-Weyl correspondenceBerezin correspondencereproducing Kernel Hilbert space

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Homogeneous complex manifolds (32M10)

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