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A nonstandard representation of Borel measures and σ-finite measures

  • Peter A. Loeb
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 369)

Keywords

Borel Measure Infinite Element Finite Borel Measure Positive Natural Number Nonstandard Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Bernstein, A.R., and Wattenberg, F., Nonstandard Measure Theory, Applications of Model Theory to Algebra, Analysis, and Probability, Edited by W. A. J. Luxemburg, pp. 171–185, Holt, Rinehart and Winston, 1969.Google Scholar
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    Henson, C. W., On the Nonstandard Representation of Measures, Trans. Amer. Math. Soc. 172, Oct. 1972, pp. 437–446.MathSciNetCrossRefzbMATHGoogle Scholar
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    Loeb, P. A., A Nonstandard Representation of Measurable Spaces and L, Bull. Amer. Math. Soc. 77, No. 4, July 1971, pp. 540–544.MathSciNetCrossRefzbMATHGoogle Scholar
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    ____, A Nonstandard Representation of Measurable Spaces L and L*, Contributions to Non-Standard Analysis, Edited by W. A. J. Luxemburg and A. Robinson, North-Holland, 1972, pp. 65–80.Google Scholar
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    Robertson, A. P., and Kingman, J. F. C., On a Theorem of Lyapunov, The Journal of the London Mathematical Society, Vol. 43, 1968, pp. 347–351.MathSciNetzbMATHGoogle Scholar
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    Robinson, A., On Generalized Limits and Linear Functions, Pacific J. Math, 14, 1964, pp. 269–283.MathSciNetCrossRefzbMATHGoogle Scholar
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    Robinson, A., Non-Standard Analysis, North-Holland, 1966.Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • Peter A. Loeb
    • 1
  1. 1.Yale University and University of IllinoisUrbana

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