Szegö type limit theorems

DOI10.1006/jfan.1996.0075zbMath0878.47020OpenAlexW1972583857MaRDI QIDQ1918981

Yu. G. Safarov, A. A. Laptev

Publication date: 23 July 1996

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.0075

zbMATH Keywords

asymptotic behaviorspectral projectiondifferential operatorSzegö type limit theoremsoperator of multiplicationdifferential and pseudo-differential operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Pseudodifferential operators (47G30)

Related Items (20)

Spectral asymptotics of Toeplitz operators on Zoll manifolds ⋮ Quasi-classical asymptotics for pseudodifferential operators with discontinuous symbols: Widom's conjecture ⋮ The Berezin and Gårding inequalities ⋮ Szegö limit theorem on the lattice ⋮ The foundations of spectral computations via the solvability complexity index hierarchy ⋮ Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature ⋮ On the approximation of spectra of linear operators on Hilbert spaces ⋮ An abstract Szegő theorem. ⋮ On the relation between an operator and its self-commutator ⋮ Algebras of semiclassical pseudodifferential operators associated with Zoll-type domains in cotangent bundles ⋮ Szegö limit theorems on the Sierpiński gasket ⋮ The spectral density of Hankel operators with piecewise continuous symbols ⋮ Lower Order Terms in Szegö Type Limit Theorems on Zoll Manifolds^† ⋮ Pseudo-differential operators with discontinuous symbols: Widom’s Conjecture ⋮ On determinants identity minus Hankel matrix ⋮ Szegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations ⋮ Spectral Enclosures and Complex Resonances for General Self-Adjoint Operators ⋮ The spectral density of a product of spectral projections ⋮ Localized spectral asymptotics for boundary value problems and correlation effects in the free Fermi gas in general domains ⋮ The spectral density of a difference of spectral projections

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