Weyl quantization of symmetric spaces. I: Hyperbolic matrix domains

DOI10.1016/0022-1236(91)90064-CzbMath0736.47014MaRDI QIDQ1814177

Harald Upmeier

Publication date: 25 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

invariant measurebounded symmetric domainsymbol functionhyperbolic matrix ballbounded Hilbert space operatorunitary representation of the group of symmetriesWeyl quantization formula

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Integral operators (47G10) Nonassociative selfadjoint operator algebras (46L70)

Related Items

QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS, Weyl transforms on the upper half plane

Cites Work

• A quantization of the Cartan domain BD I \((q=2)\) and operators on the light cone
• Spherical functions and invariant differential operators on complex Grassmann manifolds
• Jordan pairs
• Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
• Function spaces and reproducing kernels on bounded symmetric domains
• La série discrète de ${\rm SL}(2,\,{R})$ et les opérateurs pseudo-différentiels sur une demi-droite
• The weyl calculus of pseudo-differential operators
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