大葉大學圖書館 |

Quantization on Nilpotent lie groups[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512.482
書名/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.
Contained By:	Springer eBooks
標題:	Nilpotent Lie groups.
標題:	Mathematics.
標題:	Topological Groups, Lie Groups.
標題:	Abstract Harmonic Analysis.
標題:	Functional Analysis.
標題:	Mathematical Physics.
ISBN:	9783319295589
ISBN:	9783319295572
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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-29558-9

Quantization on Nilpotent lie groups[electronic resource] /
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:

639832
Nilpotent Lie groups.

LC Class. No.: QA387

Dewey Class. No.: 512.482

Quantization on Nilpotent lie groups[electronic resource] /
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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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