New Integrals pp 131-135 | Cite as

Infinite-dimensional generalised Riemann integrals

  • P. Muldowney
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1419)


We show how to define a gauge, and hence an integral, in function space. Applying the theory to Feynman integration, we show that the Feynman integrals are path integrals.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Henstock, R., ‘Integration in product spaces, including Wiener and Feynman integration', Proc. London Math. Soc. 27 (1973) 317–344.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Muldowney, P., A General Theory of Integration in Function Spaces, Longman, 1987.Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • P. Muldowney
    • 1
  1. 1.Magee CollegeUniversity of UlsterIreland

Personalised recommendations