Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems
2022 ed.
Book Details
AI Summary
Delivery Location
Delivery fee: Select location
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.
Get Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems by at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer International Publishing AG and it has pages.
Discover books you might love based on this title.
More in This Genre
ADE
Ksh 5,400.00
Tensors: Geometry and Applications
Ksh 13,700.00
Pseudo-Differential Operators and Generalized Functions
Ksh 5,950.00
Lecture Notes On Field Theory In Condensed Matter Physics
Ksh 21,600.00
Understanding Bose-Einstein Condensation, Superfluidity, and High-Temperature Superconductivity
Ksh 18,900.00
Advances in Algebra Analysis and Topology
Ksh 23,400.00
