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Properties of factorization operators in boundary crossing problems for random walks. / Lotov, V. I.
в: Izvestiya Mathematics, Том 83, № 5, 10.2019, стр. 1050-1065.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Properties of factorization operators in boundary crossing problems for random walks
AU - Lotov, V. I.
PY - 2019/10
Y1 - 2019/10
N2 - 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.
AB - 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.
KW - Boundary crossing problems
KW - Random walk
KW - Wiener-Hopf factorization
KW - random walk
KW - boundary crossing problems
UR - http://www.scopus.com/inward/record.url?scp=85079417516&partnerID=8YFLogxK
U2 - 10.1070/IM8808
DO - 10.1070/IM8808
M3 - Article
AN - SCOPUS:85079417516
VL - 83
SP - 1050
EP - 1065
JO - Izvestiya Mathematics
JF - Izvestiya Mathematics
SN - 1064-5632
IS - 5
ER -
ID: 23543168