01.01.01 (Real analysis, complex analysis, and functional analysis)
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Keywords:
spectral theory,
regularized traces,
heat kernel.
Subject:
Spectral theory.
Main publications:
A. Ya. Chervonenkis, S. S. Chernova, T. V. Zykova, “Applications of kernel ridge estimation to the problem of computing the aerodynamical characteristics of a passenger plane (in comparison with results obtained with artificial neural networks)”, Avtomat. i Telemekh., 2011, № 5, 175–182
T. V. Zykova, “The regularized trace of the perturbed Laplace-Beltrami operator on a certain family of manifolds.”, Doklady Mathematics, 83:2 (2011), 225–226
T. V. Zykova, “Regularized Trace of the Perturbed Laplace–Beltrami Operator on Two-Dimensional Manifolds with Closed Geodesics”, Mat. Zametki, 93:3 (2013), 373–389; Math. Notes, 93:3 (2013), 397–411
A. Ya. Chervonenkis, S. S. Chernova, T. V. Zykova, “Applications of kernel ridge estimation to the problem of computing the aerodynamical characteristics of a passenger plane (in comparison with results obtained with artificial neural networks)”, Avtomat. i Telemekh., 2011, no. 5, 175–182; Autom. Remote Control, 72:5 (2011), 1061–1067
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