9783031122002 - Harmonic Analysis in Operator Algebras and Its Applications to Index Theory and Topological Solid State Systems (mathematical Physics Studies) by Schulz-baldes, Hermann; Stoiber, Tom (14 results)
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Condition: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | 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 tr…ace 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.
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 prop…erties 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 forR-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.
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Hardcover. Condition: gut. 2023. Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems In deutscher Sprache. pages.
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Language: English
Published by Springer International Publishing Jan 2023, 2023
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 forR-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. 232 pp. Englisch.
Language: English
Published by Springer, Berlin|Springer International Publishing|Springer, 2022
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 opera…tors are then characterized by trace class prop.
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Preliminaries on Crossed Products.- Besov Spaces for Isometric G-actions.- Quantum Differentiation and Index Theorems.- Duality for Toeplitz Extensions.- Applications to Solid State Systems.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 232 p…p. Englisch.
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