國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Quantization on Nilpotent lie groups

Fischer, Veronique.

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 groupsby 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.
電子資源:	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
LDR:02253nmm a2200349 a 4500 001 484110
003 DE-He213
005 20160922140519.0
006 m d
007 cr nn 008maaau
008 161012s2016 gw s 0 eng d
020 $a 9783319295589$q(electronic bk.)
020 $a 9783319295572$q(paper)
024 7 $a 10.1007/978-3-319-29558-9 $2 doi
035 $a 978-3-319-29558-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA387
072 7 $a PBG $2 bicssc
072 7 $a MAT014000 $2 bisacsh
072 7 $a MAT038000 $2 bisacsh
082 0 4 $a 512.482 $2 23
090 $a QA387 $b .F529 2016
100 1 $a Fischer, Veronique. $3 742202
245 1 0 $a Quantization on Nilpotent lie groups $h [electronic resource] / $c by Veronique Fischer, Michael Ruzhansky.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2016.
300 $a xiii, 557 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Nilpotent Lie groups. $3 349196
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Topological Groups, Lie Groups. $3 273787
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
773 0 $t Springer eBooks
830 0 $a Progress in mathematics ; $v v.295. $3 558269
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-29558-9
950 $a Mathematics and Statistics (Springer-11649)