Quantization on Nilpotent Lie Groups. - Fischer, Veronique; Ruzhansky, Michael (Cham : Springer International Publishing AG, 2016)
Direct integral of tensor products of Hilbert spaces -- B.1.4 Separability of a direct integral of Hilbert spaces -- B.1.5 Measurable fields of operators -- B.1.6 Integral of representations -- B.2 C*- and von Neumann algebras -- B.2.1 Generalities on algebras -- Algebra -- Commutant and bi-commutant -- Involution and norms -- B.2.2 C*-algebras -- B.2.3 Group C*-algebras -- Reduced group C*-algebra -- Pontryagin duality -- B.2.4 Von Neumann algebras -- B.2.5 Group von Neumann algebra -- B.2.6 Decomposition of group von Neumann algebras and abstract Plancherel theorem -- Schródinger representations and Weyl quantization -- Explicit symbolic calculus on the Heisenberg group -- List of quantizations -- Bibliography -- Index.
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2023. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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