Advertisement

Measurable Functions and Integration

  • M. Loève
Part of the Graduate Texts in Mathematics book series (GTM, volume 45)

Abstract

Spaces built with numbers are prototypes of all spaces, and functions whose values are numbers are prototypes of all functions.

Keywords

Measurable Function Measure Space Inverse Image Finite Measure Range Space 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. 5.
    Bochner, S. Integration von Funktionen, deren Werte die Elemente eines Vektorraumes sind. Fund. Math. 20 (1933).Google Scholar
  2. 6.
    Dunford, N. Integration in general analysis. Trans. Amer. Math. Soc. 37 (1942).Google Scholar
  3. 7.
    Kolmogorov, A. Untersuchungen über den Integral begriff. Math. Ann. 103 (1930).Google Scholar
  4. 8.
    Nikodym, O. Sur une généralisation des integrales de Radon. Fund. Math. 15 (1930).Google Scholar
  5. 9.
    Robbins, H. Convergence of distributions. Ann. Math. Stat. 19 (1948).Google Scholar
  6. 10.
    Tulcea, I. Mesures dans les espaces produits. Atti Accad. Naz. Lincei Rend. 7 (1949, 1950).Google Scholar
  7. 11.
    Scheffé, H. A useful convergence theorem for probability distributions. Ann. Math. Stat. 18 (1947).Google Scholar

Copyright information

© Springer-Verlag Inc. 1977

Authors and Affiliations

  • M. Loève
    • 1
  1. 1.Departments of Mathematics and StatisticsUniversity of California at BerkeleyBerkeleyUSA

Personalised recommendations