國立虎尾科技大學 |

Quantization on Nilpotent Lie Groups

紀錄類型:	書目-語言資料,印刷品 : 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.
面頁冊數:	XIII, 557 p. 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Topological groups. -
電子資源:	https://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. - 1st ed. 2016. - XIII, 557 p. 1 illus. in color.online resource. - Progress in Mathematics,3140743-1643 ;. - Progress in Mathematics,312.

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:

885827
Topological groups.

LC Class. No.: QA252.3

Dewey Class. No.: 512.55

Quantization on Nilpotent Lie Groups
LDR:02711nam a22004575i 4500 001 972543
003 DE-He213
005 20200704081254.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319295589 $9 978-3-319-29558-9
024 7 $a 10.1007/978-3-319-29558-9 $2 doi
035 $a 978-3-319-29558-9
050 4 $a QA252.3
050 4 $a QA387
072 7 $a PBG $2 bicssc
072 7 $a MAT014000 $2 bisacsh
072 7 $a PBG $2 thema
082 0 4 $a 512.55 $2 23
082 0 4 $a 512.482 $2 23
100 1 $a Fischer, Veronique. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1107078
245 1 0 $a Quantization on Nilpotent Lie Groups $h [electronic resource] / $c by Veronique Fischer, Michael Ruzhansky.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2016.
300 $a XIII, 557 p. 1 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Progress in Mathematics, $x 0743-1643 ; $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 0 $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 Topological groups. $3 885827
650 0 $a Lie groups. $3 527929
650 0 $a Harmonic analysis. $3 672073
650 0 $a Functional analysis. $3 527706
650 0 $a Mathematical physics. $3 527831
650 1 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. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 788073
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319295572
776 0 8 $i Printed edition: $z 9783319295596
776 0 8 $i Printed edition: $z 9783319805993
830 0 $a Progress in Mathematics, $x 0743-1643 ; $v 312 $3 1258196
856 4 0 $u https://doi.org/10.1007/978-3-319-29558-9
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
912 $a ZDB-2-SOB
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)