Name: Harmonic Analysis in Operator Algebras and Its Applications to Index Theory and Topological Solid State Systems (en Inglés)
Price: 3074.23 MXN
Availability: InStock
Author: Schulz-Baldes, Hermann ; Stoiber, Tom
ISBN: 9783031122002

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portada Harmonic Analysis in Operator Algebras and Its Applications to Index Theory and Topological Solid State Systems (en Inglés)

Formato

Libro Físico

Autor

Hermann Schulz-Baldes

Tom Stoiber

Editorial

Springer

Idioma

Inglés

N° páginas

206

Encuadernación

Tapa Dura

Dimensiones

23.4 x 15.6 x 1.4 cm

Peso

0.50 kg.

ISBN13

9783031122002

Categorías

Algebra
Fïsica de la materia condensada

Harmonic Analysis in Operator Algebras and Its Applications to Index Theory and Topological Solid State Systems (en Inglés)

Hermann Schulz-Baldes (Autor) · Tom Stoiber (Autor) · Springer · Tapa Dura

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Reseña del libro "Harmonic Analysis in Operator Algebras and Its Applications to Index Theory and Topological Solid State Systems (en Inglés)"

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.