Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 10 Issue 2
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- Pages.337-348
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- 1995
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
FEYNMAN'S OPERATIONAL CALCULUS APPLIED TO MULTIPLE INTEGRALS
Abstract
In 1987, Johnson and Lapidus introduced the noncommutative operations * and + on Wiener functionals and gave a precise and rigorous interpretation of certain aspects of Feynman's operational calculus for noncommuting operators. They established the operational calculus for certain functionals which involve Legesgue measure. In this paper we establish the operational calculus for the functionals applied to multiple integrals which involve some Borel measures.