Asymptotic behavior of the solution to the Wiener-Hopf equation in measures

DOI10.1007/s10958-024-07012-4zbMath1548.45001MaRDI QIDQ6579989

Mikhail S. Sgibnev

Publication date: 29 July 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorexplicit solutionBorel setrenewal theoremWiener-Hopf equation in measures

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Renewal theorem in the case of an infinite variance
• Equivalence of two conditions on singular components
• Submultiplicative moments of the supremum of a random walk with negative drift
• The Wiener-Hopf equation in measures with probability kernel
• Semimultiplicative moments of factors in Wiener-Hopf matrix factorization
• Regularly varying functions
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