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Stone's decomposition of the renewal measure via Banach-algebraic techniques
Author(s):
M.
S.
Sgibnev
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2425-2430.
MSC (2000):
Primary 60K05
Posted:
February 4, 2002
MathSciNet review:
1897469
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Abstract:
A Banach-algebraic approach to Stone's decomposition of the renewal measure is discussed. Estimates of the rate of convergence in a key renewal theorem are given.
References:
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Additional Information:
M.
S.
Sgibnev
Affiliation:
Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 90, 630090 Russia
Email:
sgibnev@math.nsc.ru
DOI:
10.1090/S0002-9939-02-06317-7
PII:
S 0002-9939(02)06317-7
Keywords:
Stone's decomposition,
renewal measure,
asymptotic behavior,
submultiplicative function,
spread-out distribution,
Banach algebra
Received by editor(s):
August 25, 2000
Received by editor(s) in revised form:
February 19, 2001
Posted:
February 4, 2002
Additional Notes:
This research was supported by Grant 99--01--00504 of the Russian Foundation of Basic Research.
Communicated by:
Claudia M. Neuhauser
Copyright of article:
Copyright
2002,
American Mathematical Society
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