Vol. 55, No. 1, 1974

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Two related integrals over spaces of continuous functions

R. H. Cameron and David Arne Storvick

Vol. 55 (1974), No. 1, 19–37

In this paper the authors evaluate Yeh-Wiener integrals (which apply to functionals of a variable continuous function of two arguments) in terms of multiple Wiener integrals (which apply to functionals of several variable continuous functions of one argument). First somewhat specialized cases are given where the multiplicity of the Wiener integral is finite, and then quite general Yeh-Wiener integrals are evaluated in terms of limits of n-fold Wiener integrals as n →∞.

Mathematical Subject Classification
Primary: 28A40
Received: 16 March 1973
Published: 1 November 1974
R. H. Cameron
David Arne Storvick