株式会社極東書店トップ ＞ 商品一覧 ＞ Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems. 2022 ed.
商品詳細
Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems. 2022 ed.
・ISBN 978-3-031-12200-2 hard EUR 139.99
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| 著者・編者 | Schulz-Baldes, Hermann / Stoiber, Tom, |
|---|---|
| シリーズ | (Mathematical Physics Studies) |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2023 |
| ページ数 | 206 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A02-96626＞ |
解説
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.