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Quantization on Nilpotent Lie Groups

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Quantization on Nilpotent Lie Groups/ by Veronique Fischer, Michael Ruzhansky.
Author:	Fischer, Veronique.
other author:	Ruzhansky, Michael.
Description:	XIII, 557 p. 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Topological groups. -
Online resource:	https://doi.org/10.1007/978-3-319-29558-9
ISBN:	9783319295589

Quantization on Nilpotent Lie Groups
Fischer, Veronique.

Quantization on Nilpotent Lie Groups[electronic resource] /by Veronique Fischer, Michael Ruzhansky. - 1st ed. 2016. - XIII, 557 p. 1 illus. in color.online resource. - Progress in Mathematics,3140743-1643 ;. - Progress in Mathematics,312.

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.

ISBN: 9783319295589

Standard No.: 10.1007/978-3-319-29558-9doiSubjects--Topical Terms:

885827
Topological groups.

LC Class. No.: QA252.3

Dewey Class. No.: 512.55

Quantization on Nilpotent Lie Groups
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