Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth versus non-smooth symbols

DOI10.1007/s00039-017-0408-9zbMath1422.47054arXiv1609.02068OpenAlexW2515059607WikidataQ59614326 ScholiaQ59614326MaRDI QIDQ2364143

Alexander V. Sobolev

Publication date: 18 July 2017

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02068

zbMATH Keywords

entanglement entropyasymptotic trace formulasnon-smooth functions of Wiener-Hopf operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Asymptotics of solutions to integral equations (45M05) Pseudodifferential operators (47G30)

Related Items (7)

Formulas of Szegő type for the periodic Schrödinger operator ⋮ On Szegő formulas for truncated Wiener-Hopf operators ⋮ Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature ⋮ Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0&lt; p\leqslant \infty$ ⋮ Operator \(\theta\)-Hölder functions ⋮ Schatten class conditions for functions of Schrödinger operators ⋮ Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states

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