Lebesgue Integration and Stieltjes Integral

  • Willi-Hans Steeb
Part of the Mathematics and Its Applications book series (MAIA, volume 451)


In this chapter we give a short introduction to Lebesgue integration and Stieltjes integral (Halmos [27], Howson [29]). The Lebesgue integral plays a central role in the Hilbert spaces L 2(M) (see chapter 1). The Stieltjes integral is important for the spectral representation (see chapter 4).


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Willi-Hans Steeb
    • 1
  1. 1.International School for Scientific ComputingRand Afrikaans UniversityJohannesburgSouth Africa

Personalised recommendations