Research output: Contribution to journal › Article › peer-review
Spectral asymptotics for a family of finite-dimensional perturbations of operators of trace class are found. The results are used to find exact asymptotics of small ball probabilities in the Hilbert norm for finitedimensional perturbations of Gaussian functions. As an example, Durbin processes appearing in the study of empirical processes with estimated parameters are considered.
Translated title of the contribution | On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class: О спектральных асимптотиках одного семейства конечномерных возмущений операторов со следом |
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Original language | English |
Pages (from-to) | 367-369 |
Number of pages | 3 |
Journal | Doklady Mathematics |
Volume | 98 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jul 2018 |
ID: 35814845