On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class
- 作者: Petrova Y.1
-
隶属关系:
- St. Petersburg State University
- 期: 卷 98, 编号 1 (2018)
- 页面: 367-369
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225536
- DOI: https://doi.org/10.1134/S1064562418050204
- ID: 225536
如何引用文章
详细
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.
作者简介
Yu. Petrova
St. Petersburg State University
编辑信件的主要联系方式.
Email: yu.pe.petrova@yandex.ru
俄罗斯联邦, St. Petersburg