Asymptotic Expansions of Traces for Certain Convolution Operators

DOI10.2307/1999452zbMath0596.47018OpenAlexW4232617975MaRDI QIDQ3728687

Raymond Roccaforte

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999452

zbMATH Keywords

analytic functionsWiener-Hopf operatorsSzegö limit theoremasymptotic of tracesdeterminant of convolution operators

Mathematics Subject Classification ID

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) Linear operators on function spaces (general) (47B38) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (8)

Full Szegő-type trace asymptotics for ergodic operators on large boxes ⋮ On Szegő formulas for truncated Wiener-Hopf operators ⋮ Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature ⋮ Volume estimates and spectral asymptotics for a class of pseudo-differential operators ⋮ Two-term Szegő theorem for generalised anti-Wick operators ⋮ Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field ⋮ The volume of non-uniform tubular neighborhoods and an application to the \(n\)-dimensional Szegö theorem ⋮ Pseudo-differential operators with discontinuous symbols: Widom’s Conjecture

Cites Work

• Szegö's limit theorem: The higher-dimensional matrix case
• Toeplitz matrices, translation kernels and a related problem in probability theory
• A Theorem on Translation Kernels in n Dimensions
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