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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Converses to measurability theorems for Yeh-Wiener space


Author: David Skoug
Journal: Proc. Amer. Math. Soc. 57 (1976), 304-310
MSC: Primary 28A40
MathSciNet review: 0422563
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Abstract: In this paper we establish some relationships between Yeh-Wiener measurability and Wiener measurability of certain sets and functionals. In addition we show that an ``interval'' in Yeh-Wiener space is Yeh-Wiener measurable if and only if its ``restriction set'' in Euclidean space is Lebesgue measurable.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0422563-9
PII: S 0002-9939(1976)0422563-9
Keywords: Wiener integral, Yeh-Wiener integral
Article copyright: © Copyright 1976 American Mathematical Society