Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems, 9783031122033
Paperback
Besov spaces meet operator algebras, index theory, and topological physics.

Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems

$429.06

  • Paperback

    206 pages

  • Release Date

    2 January 2024

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Summary

Harmonic Analysis Meets Operator Algebras: Unveiling Topological Phenomena

This book offers a comprehensive exploration of Besov spaces within W-dynamical systems, utilizing the Arveson spectrum and Fourier multipliers. Building upon Peller’s foundational work, it characterizes Besov operator spaces through trace class properties of Hankel operators in the W-crossed product algebra.

These established criteria facilitate the extension of index theorems to broader ope…

Book Details

ISBN-13:9783031122033
ISBN-10:3031122038
Series:Mathematical Physics Studies
Author:Hermann Schulz-Baldes, Tom Stoiber
Publisher:Springer International Publishing AG
Imprint:Springer International Publishing AG
Format:Paperback
Number of Pages:206
Edition:2022nd
Release Date:2 January 2024
Weight:361g
Dimensions:235mm x 155mm
About The Author

Hermann Schulz-Baldes

Hermann Schulz-Baldes has been a professor at the Department of Mathematics of the Friedrich-Alexander-University of Erlangen-Nuernberg since 2004. Before this, he received his Ph.D. from the University Paul-Sabatier in Toulouse, and he held several postdoctoral positions in Como, Berlin, and Irvine. His research focuses include the theory of topological insulators, index theory, the study of products of random matrices, and quantum–mechanical scattering theory.

Tom Stoiber is finishing his Ph.D. studies at the Friedrich-Alexander-University of Erlangen-Nuernberg in 2022, with a thesis on non-commutative geometry and its applications in solid-state physics systems. He is supported by a scholarship from the “Studienstiftung des Deutschen Volkes”.

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