Berezin symbols and spectral measures of representation operators

DOI10.1007/S11785-021-01111-9OpenAlexW3156574697MaRDI QIDQ2033116

Benjamin Cahen

Publication date: 14 June 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09720

zbMATH Keywords

spectral measuresunitary representationscoherent statesreproducing kernel Hilbert spaceBerezin quantizationBerezin symbolsLie group representationscontractions of representations

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Coherent states (81R30) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Homogeneous complex manifolds (32M10) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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