Décomposition spectrale dans des algèbres munie d'un star-produit. (Spectral decomposition of an algebra equipped with a star product)

DOI10.1007/BF01766595zbMath0593.46034OpenAlexW1968398634MaRDI QIDQ1076289

Jean-Bertrand Kammerer

Publication date: 1985

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01766595

zbMATH Keywords

projectionsresolventtwisted convolutionMoyal productspectral resolutionspace of tempered distributionsWeyl mapFourier transforms of distributions with compact supportstar-multiplication operators

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (1)

Representation of a quantum particle with \(\text{spin}1/2\) by means of the Moyal product and a flat symplectic supermanifold

Cites Work

• Deformation theory and quantization. I: Deformations of symplectic structures
• The classical limit in Weyl quantization
• The Weyl transform of distributions
• Functional Analysis
• Mathematical Aspects of the Weyl Correspondence
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