𝐻*-algebras and quantization of para-Hermitian spaces

DOI10.1090/S0002-9939-08-09219-8zbMath1143.22011arXivmath/0608149OpenAlexW2077290434MaRDI QIDQ3506763

Michael Pevzner, Gerrit Van Dijk

Publication date: 17 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608149

zbMATH Keywords

quantizationquantization mapHilbert algebrascovariant symbolic calculusinvolution on symbolsmaximal degenerate seriesnoncommutative algebra structuresquare integrable functions on rank-one para-Hermitian symmetric space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Classical Banach spaces in the general theory (46B25) Semisimple Lie groups and their representations (22E46) Proceedings, conferences, collections, etc. pertaining to topological groups (22-06)

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Covariant quantization: spectral analysis versus deformation theory

Cites Work

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• Projective pseudodifferential analysis and harmonic analysis
• Paracomplex structures and affine symmetric spaces
• The Berezin form for rank one para-Hermitian symmetric spaces
• Tensor products of maximal degenerate series representations of the group \(SL(n,\mathbb{R})\)
• Algebras of symbols and modular forms
• Structure Theorems for a Special Class of Banach Algebras