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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.

References [Enhancements On Off] (What's this?)

  • [1] D. A. Lind, Convolutions and absolute continuity, Proc. Amer. Math. Soc. 39 (1973), 347-348. MR 0320257 (47:8796)
  • [2] Walter Rudin, Measure algebras on abelian groups, Bull. Amer. Math. Soc. 65 (1959), 227-247. MR 0108689 (21:7404)
  • [3] Stanislaw Saks, Theory of the integral, 2nd rev. ed., English transl., Stechert, New York, 1937, pp. 91-92.

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Keywords: Quantifiers, Fubini's theorem, Haar measure, translation, absolute continuity
Article copyright: © Copyright 1982 American Mathematical Society

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