Full SzegA-Type Trace Asymptotics for Ergodic Operators on Large Boxes

Dietleine, Adrian (2018): Full SzegA-Type Trace Asymptotics for Ergodic Operators on Large Boxes. In: Communications in Mathematical Physics, Bd. 362, Nr. 3: S. 983-1005

Abstract

We prove full SzegA-type large-box trace asymptotics for selfadjoint -ergodic operators acting on . More precisely, let g be a bounded, compactly supported and real-valued function such that the (averaged) operator kernel of decays sufficiently fast, and let h be a sufficiently smooth compactly supported function. We then prove a full asymptotic expansion of the averaged trace in terms of the length-scale L.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0010-3616
• Sprache: Englisch