Polynomial quantization and overalgebra

DOI10.1007/S10468-018-9784-6zbMath1400.43004OpenAlexW2803123035MaRDI QIDQ1792607

Vladimir F. Molchanov

Publication date: 12 October 2018

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-018-9784-6

zbMATH Keywords

symplectic manifoldsquantizationsymbol calculusBerezin transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Cites Work

• Paracomplex structures and affine symmetric spaces
• Jordan pairs
• Polynomial quantization on rank one para-Hermitian symmetric spaces
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
• The action of an overalgebra on the Plancherel decomposition and shift operators in the imaginary direction
• Canonical Representations for Hyperboloids: an Interaction with an Overalgebra
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