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
Henstock, R., ‘Integration in product spaces, including Wiener and Feynman integration', Proc. London Math. Soc. 27 (1973) 317–344.
Muldowney, P., A General Theory of Integration in Function Spaces, Longman, 1987.
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© 1990 Springer-Verlag
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Muldowney, P. (1990). Infinite-dimensional generalised Riemann integrals. In: Bullen, P.S., Lee, P.Y., Mawhin, J.L., Muldowney, P., Pfeffer, W.F. (eds) New Integrals. Lecture Notes in Mathematics, vol 1419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083104
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DOI: https://doi.org/10.1007/BFb0083104
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