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

Häftad, Engelska, 2024

Av Hermann Schulz-Baldes, Tom Stoiber

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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.

Produktinformation

Utgivningsdatum2024-01-02
Mått155 x 235 x 13 mm
Vikt359 g
FormatHäftad
SpråkEngelska
SerieMathematical Physics Studies
Antal sidor206
FörlagSpringer International Publishing AG
ISBN9783031122033

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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”.