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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)

Abstract

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.

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References

  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

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