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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2001 Volume 192, Number 7, Pages 97–106 (Mi sm581)

This article is cited in 7 papers

Stone decomposition for a matrix renewal measure on a half-line

M. S. Sgibnev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: A Stone decomposition for a matrix renewal measure is obtained. On its basis several properties of solutions of a system of integral equations of renewal type are easily established.

UDC: 517.962.28

MSC: 60K05

Received: 04.10.2000

DOI: 10.4213/sm581


 English version:
Sbornik: Mathematics, 2001, 192:7, 1025–1033

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© Steklov Math. Inst. of RAS, 2026