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＜電子ブック＞
Quantization on Nilpotent Lie Groups / by Veronique Fischer, Michael Ruzhansky
(Progress in Mathematics. ISSN:2296505X ; 314)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2016
本文言語	英語
大きさ	XIII, 557 p. 1 illus. in color : online resource
著者標目	*Fischer, Veronique author Ruzhansky, Michael author SpringerLink (Online service)
件　名	LCSH:Topological groups LCSH:Lie groups LCSH:Harmonic analysis LCSH:Functional analysis LCSH:Mathematical physics FREE:Topological Groups and Lie Groups FREE:Abstract Harmonic Analysis FREE:Functional Analysis FREE:Mathematical Physics
一般注記	Preface -- Introduction -- Notation and conventions -- 1 Preliminaries on Lie groups -- 2 Quantization on compact Lie groups -- 3 Homogeneous Lie groups -- 4 Rockland operators and Sobolev spaces -- 5 Quantization on graded Lie groups -- 6 Pseudo-differential operators on the Heisenberg group -- A Miscellaneous -- B Group C* and von Neumann algebras -- Schrödinger representations and Weyl quantization -- Explicit symbolic calculus on the Heisenberg group -- List of quantizations -- Bibliography -- Index Open Access This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize HTTP:URL=https://doi.org/10.1007/978-3-319-29558-9

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