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• W1563681337 abstract "We develop an abstract framework for the investigation of quantization and dequantization procedures based on orthogonality relations that do not necessarily involve group representations. To illustrate the usefulness of our abstract method we show that it behaves well with respect to the infinite tensor products. This construction subsumes examples coming from the study of magnetic Weyl calculus, the magnetic pseudo-differential Weyl calculus, the metaplectic representation on locally compact abelian groups, irreducible representations associated with finite-dimensional coadjoint orbits of some special infinite-dimensional Lie groups, and the square-integrability properties shared by arbitrary irreducible representations of nilpotent Lie groups." @default.
• W1563681337 created "2016-06-24" @default.
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• W1563681337 date "2012-03-28" @default.
• W1563681337 modified "2023-10-15" @default.
• W1563681337 title "Symbol calculus of square-integrable operator-valued maps" @default.
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• W1563681337 doi "https://doi.org/10.48550/arxiv.1203.6347" @default.
• W1563681337 hasPublicationYear "2012" @default.
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