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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.
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

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.231..

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:

898655
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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490 1 $a Progress in mathematics, $x 0743-1643 ; $v v.314
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 527692
650 2 4 $a Topological Groups, Lie Groups. $3 672074
650 2 4 $a Abstract Harmonic Analysis. $3 672075
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Mathematical Physics. $3 786661
700 1 $a Ruzhansky, Michael. $3 788073
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950 $a Mathematics and Statistics (Springer-11649)