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

 

Measure-theoretic quantifiers and Haar measure


Author: Russell Lyons
Journal: Proc. Amer. Math. Soc. 86 (1982), 67-70
MSC: Primary 43A05; Secondary 03C80, 28C10
Erratum: Proc. Amer. Math. Soc. 91 (1984), 329-330.
MathSciNet review: 663868
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Abstract: Measure-theoretic quantifiers are introduced as convenient notation and to facilitate certain applications of Fubini's theorem. They are used to prove the uniqueness of Haar measure and to give some conditions involving translation which imply absolute continuity of another measure.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0663868-9
PII: S 0002-9939(1982)0663868-9
Keywords: Quantifiers, Fubini's theorem, Haar measure, translation, absolute continuity
Article copyright: © Copyright 1982 American Mathematical Society