Berezin Symbols on Lie Groups

DOI10.1007/978-3-319-63594-1_3zbMath1404.22020arXiv1609.06256OpenAlexW2521100503MaRDI QIDQ4556830

Ingrid Beltiţă, Daniel Beltiţă, Benjamin Cahen

Publication date: 28 November 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06256

zbMATH Keywords

coadjoint orbitreproducing kernelBerezin calculus

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25)

Cites Work

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• Berezin quantization and holomorphic representations
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• Modulation spaces of symbols for representations of nilpotent Lie groups
• Stratonovich-Weyl correspondence for compact semisimple Lie groups
• Continuity of magnetic Weyl calculus
• Holomorphy and convexity in Lie theory
• Linear connections for reproducing kernels on vector bundles
• Berezin quantization on generalized flag manifolds
• QUANTIZATION
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES