Quantization on Nilpotent Lie Groups
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 a...
Saved in:
| Main Authors: | , |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2016.
|
| Edition: | 1st ed. 2016. |
| Series: | Progress in Mathematics,
314 |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-3-319-29558-9 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-29558-9 | ||
| 003 | DE-He213 | ||
| 005 | 20180131132530.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160308s2016 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 | |
| 050 | 4 | |a QA252.3 | |
| 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 512.55 |2 23 |
| 082 | 0 | 4 | |a 512.482 |2 23 |
| 100 | 1 | |a Fischer, Veronique. |e author. | |
| 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 Mathematics. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Harmonic analysis. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Mathematics. |
| 650 | 2 | 4 | |a Topological Groups, Lie Groups. |
| 650 | 2 | 4 | |a Abstract Harmonic Analysis. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 700 | 1 | |a Ruzhansky, Michael. |e author. | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer eBooks | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319295572 |
| 830 | 0 | |a Progress in Mathematics, |x 0743-1643 ; |v 314 | |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-319-29558-9 |
| 912 | |a ZDB-2-SMA | ||
| 950 | |a Mathematics and Statistics (Springer-11649) | ||
| 999 | |c 188912 |d 188912 | ||