Hermann Schulz-Baldes - Böcker
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6 produkter
6 produkter
Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems
Inbunden, Engelska, 2023
1 473 kr
Skickas inom 10-15 vardagar
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.
Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems
Engelska, 2023
634 kr
Skickas inom 5-8 vardagar
Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems
Häftad, Engelska, 2024
1 473 kr
Skickas inom 10-15 vardagar
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.
Del 94 - De Gruyter Studies in Mathematics
Spectral Flow
A Functional Analytic and Index-Theoretic Approach
Inbunden, Engelska, 2023
1 850 kr
Skickas inom 5-8 vardagar
This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory.
Bulk and Boundary Invariants for Complex Topological Insulators
From K-Theory to Physics
Inbunden, Engelska, 2016
959 kr
Skickas inom 10-15 vardagar
This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry. Particular focus is on the stability of the topological invariants in the presence of strong disorder, on the interplay between the bulk and boundary invariants and on their dependence on magnetic fields.The first part presents motivating examples and the conjectures put forward by the physics community, together with a brief review of the experimental achievements. The second part develops an operator algebraic approach for the study of disordered topological insulators. This leads naturally to the use of analytical tools from K-theory and non-commutative geometry, such as cyclic cohomology, quantized calculus with Fredholm modules and index pairings. New results include a generalized Streda formula and a proof of the delocalized nature of surface states in topological insulators with non-trivialinvariants. The concluding chapter connects the invariants to measurable quantities and thus presents a refined physical characterization of the complex topological insulators. This book is intended for advanced students in mathematical physics and researchers alike.
Bulk and Boundary Invariants for Complex Topological Insulators
From K-Theory to Physics
Häftad, Engelska, 2018
959 kr
Skickas inom 10-15 vardagar
This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry.