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- W2098987057 abstract "was studied, and theorems giving a formula for the transformationl Wiener integrals (in particular, Theorem A below) were obtained, where A(x t) was a (generally nonlinear) functional depending on the function x and the number t and satisfying certain smoothness conditions. (The number t ranges over the interval I: 0 _ t _ 1, and the function x ranges over a measurable set r the space C continuous functions on I which vanish at t = 0.) The primary smoothness condition on A was that it be smooth in a Hilbert neighborhood each point the set r, according to the following definition. DEFINITION 1. A functional A(x| t) defined on S01, where S is a convex subset C open in the uniform topology, will be said to be of smooth variation if its first" @default.
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- W2098987057 date "1953-01-01" @default.
- W2098987057 modified "2023-10-18" @default.
- W2098987057 title "Nonlinear transformations of Volterra type in Wiener space" @default.
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- W2098987057 doi "https://doi.org/10.1090/s0002-9947-1953-0059476-x" @default.
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