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Quantization on Nilpotent lie groups

Fischer, Veronique.

Quantization on Nilpotent lie groups

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantization on Nilpotent lie groupsby Veronique Fischer, Michael Ruzhansky.
Author:	Fischer, Veronique.
other author:	Ruzhansky, Michael.
Published:	Cham :Springer International Publishing :2016.
Description:	xiii, 557 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Nilpotent Lie groups.
Online resource:	http://dx.doi.org/10.1007/978-3-319-29558-9
ISBN:	9783319295589$q(electronic bk.)

Quantization on Nilpotent lie groups
Fischer, Veronique.

Quantization on Nilpotent lie groups[electronic resource] /by Veronique Fischer, Michael Ruzhansky. - Cham :Springer International Publishing :2016. - xiii, 557 p. :ill., digital ;24 cm. - Progress in mathematics,v.3140743-1643 ;. - Progress in mathematics ;v.295..

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$q(electronic bk.)

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

349196
Nilpotent Lie groups.

LC Class. No.: QA387

Dewey Class. No.: 512.482

Quantization on Nilpotent lie groups
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245 1 0 $a Quantization on Nilpotent lie groups $h [electronic resource] / $c by Veronique Fischer, Michael Ruzhansky.
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300 $a xiii, 557 p. : $b ill., digital ; $c 24 cm.
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505 0 $a 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.
506 $a Open access.
520 $a 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.
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650 1 4 $a Mathematics. $3 184409
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650 2 4 $a Abstract Harmonic Analysis. $3 274074
650 2 4 $a Functional Analysis. $3 274845
650 2 4 $a Mathematical Physics. $3 522725
700 1 $a Ruzhansky, Michael. $3 456168
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a Progress in mathematics ; $v v.295. $3 558269
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950 $a Mathematics and Statistics (Springer-11649)