Quantum algebras and \(q\)-special functions related to coherent states maps of the disc

DOI10.1007/s002200050296zbMath0916.46061OpenAlexW2051532558MaRDI QIDQ1270166

Anatol Odzijewicz

Publication date: 21 October 1998

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050296

zbMATH Keywords

quantum algebrasreproducing kernel\(q\)-analysis\(q\)-special functionscoherent states mapsgeneralized basic hypergeometric seriesreproducing measurestar-product quantizations

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Applications of selfadjoint operator algebras to physics (46L60) Coherent states (81R30) Applications of functional analysis in quantum physics (46N50) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Nonstandard functional analysis (46S20)

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