On spectral asymptotics for a family of finite-dimensional perturbations of operators of trace class

DOI10.1134/S1064562418050204zbMath1410.60039OpenAlexW2890016578MaRDI QIDQ1994095

Yu. P. Petrova

Publication date: 1 November 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418050204

zbMATH Keywords

Gaussian functionstrace class operatorsDurbin processes

Mathematics Subject Classification ID

Gaussian processes (60G15) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

Cites Work

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• Weak convergence of the sample distribution function when parameters are estimated
• The Small Ball Asymptotics in Hilbert Norm for the Kac--Kiefer--Wolfowitz Processes
• Lectures on Gaussian Processes
• On the eigenvalues in problems with spherical symmetry
• On A Set Of Transformations of Gaussian Random Functions
• Fredholm Determinant of a Positive Definite Kernel of a Special Type and Its Application

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