東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Harmonic analysis in operator algebr...

Schulz-Baldes, Hermann.

Linked to FindBook

Google Book

Amazon

博客來

Harmonic analysis in operator algebras and its applications to index theory and topological solid state systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Harmonic analysis in operator algebras and its applications to index theory and topological solid state systems/ by Hermann Schulz-Baldes, Tom Stoiber.
Author:	Schulz-Baldes, Hermann.
other author:	Stoiber, Tom.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xxiv, 206 p. :ill., digital ;24 cm.
[NT 15003449]:	Preliminaries on Crossed Products -- Besov Spaces for Isometric G-actions -- Quantum Differentiation and Index Theorems -- Duality for Toeplitz Extensions -- Applications to Solid State Systems.
Contained By:	Springer Nature eBook
Subject:	Condensed matter - Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-031-12201-9
ISBN:	9783031122019

Harmonic analysis in operator algebras and its applications to index theory and topological solid state systems
Schulz-Baldes, Hermann.

Harmonic analysis in operator algebras and its applications to index theory and topological solid state systems[electronic resource] /by Hermann Schulz-Baldes, Tom Stoiber. - Cham :Springer International Publishing :2022. - xxiv, 206 p. :ill., digital ;24 cm. - Mathematical physics studies,2352-3905. - Mathematical physics studies..

Preliminaries on Crossed Products -- Besov Spaces for Isometric G-actions -- Quantum Differentiation and Index Theorems -- Duality for Toeplitz Extensions -- Applications to Solid State Systems.

This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra. These criteria allow to extend index theorems to such operator classes. This in turn is of great relevance for applications in solid-state physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory for R-actions. It allows to prove a bulk-boundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphene-like systems. This book is intended for advanced students in mathematical physics and researchers alike.

ISBN: 9783031122019

Standard No.: 10.1007/978-3-031-12201-9doiSubjects--Topical Terms:

711011
Condensed matter
--Mathematics.

LC Class. No.: QC173.458.M38

Dewey Class. No.: 530.410151

Harmonic analysis in operator algebras and its applications to index theory and topological solid state systems
LDR:02232nmm a2200337 a 4500 001 2307098
003 DE-He213
005 20221231122049.0
006 m d
007 cr nn 008maaau
008 230421s2022 sz s 0 eng d
020 $a 9783031122019 $q (electronic bk.)
020 $a 9783031122002 $q (paper)
024 7 $a 10.1007/978-3-031-12201-9 $2 doi
035 $a 978-3-031-12201-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QC173.458.M38
072 7 $a PHFC $2 bicssc
072 7 $a SCI077000 $2 bisacsh
072 7 $a PHFC $2 thema
082 0 4 $a 530.410151 $2 23
090 $a QC173.458.M38 $b S388 2022
100 1 $a Schulz-Baldes, Hermann. $3 2183214
245 1 0 $a Harmonic analysis in operator algebras and its applications to index theory and topological solid state systems $h [electronic resource] / $c by Hermann Schulz-Baldes, Tom Stoiber.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xxiv, 206 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical physics studies, $x 2352-3905
505 0 $a Preliminaries on Crossed Products -- Besov Spaces for Isometric G-actions -- Quantum Differentiation and Index Theorems -- Duality for Toeplitz Extensions -- Applications to Solid State Systems.
520 $a This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra. These criteria allow to extend index theorems to such operator classes. This in turn is of great relevance for applications in solid-state physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory for R-actions. It allows to prove a bulk-boundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphene-like systems. This book is intended for advanced students in mathematical physics and researchers alike.
650 0 $a Condensed matter $x Mathematics. $3 711011
650 0 $a Mathematical physics. $3 516853
650 0 $a Besov spaces. $3 3612000
700 1 $a Stoiber, Tom. $3 3611999
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Mathematical physics studies. $3 2072974
856 4 0 $u https://doi.org/10.1007/978-3-031-12201-9
950 $a Physics and Astronomy (SpringerNature-11651)