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Quantization on Nilpotent lie groups

Fischer, Veronique.

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Quantization on Nilpotent lie groups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Quantization on Nilpotent lie groups/ by Veronique Fischer, Michael Ruzhansky.
作者:	Fischer, Veronique.
其他作者:	Ruzhansky, Michael.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xiii, 557 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Nilpotent Lie groups. -
電子資源:	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.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

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

628106
Nilpotent Lie groups.

LC Class. No.: QA387

Dewey Class. No.: 512.482

Quantization on Nilpotent lie groups
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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.
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