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Properties of factorization operators in boundary crossing problems for random walks Full article

Journal Izvestiya Mathematics
ISSN: 1064-5632
Output data Year: 2019, Volume: 83, Number: 5, Pages: 1050-1065 Pages count : 16 DOI: 10.1070/im8808
Tags random walk, boundary crossing problems, Wiener–Hopf factorization
Authors Lotov Vladimir Ivanovich 1,2
Affiliations
1 Sobolev Institute of Mathematics
2 Novosibirsk State University

Abstract: We study the properties of operators arising in the calculation of double Laplace–Stieltjes transforms of distributions in various boundary crossing problems for random walks. Such operators are defined in terms of the components of the Wiener–Hopf factorization. We give bounds for the norms of these operators and prove continuity theorems.
Cite: Lotov V.I.
Properties of factorization operators in boundary crossing problems for random walks
Izvestiya Mathematics. 2019. V.83. N5. P.1050-1065. DOI: 10.1070/im8808 WOS Scopus OpenAlex
Original: Лотов В.И.
О свойствах факторизационных операторов в граничных задачах для случайных блужданий
Известия Российской академии наук. Серия математическая. 2019. Т.83. №5. С.149-166. DOI: 10.4213/im8808 OpenAlex
Dates:
Submitted: May 7, 2018
Published print: Nov 11, 2019
Identifiers:
Web of science: WOS:000510719200006
Scopus: 2-s2.0-85079417516
OpenAlex: W2954433955
Citing: Пока нет цитирований
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