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- W2159780229 abstract "Stochastic oscillatory integrals associated with quadratic Wiener functionals obtained as square norms on measure spaces of first order Wiener chaos is investigated. As applications, the square norm of the Brownian sheet and quadratic Wiener functional related to the KdV equation will be studied. Abstract Wiener spaces were introduced by L. Gross in 1965 (3), and since then, have been playing a key role in infinite dimensional stochastic analysis. In this paper, we investigate the quadratic Wiener functional on an abstract Wiener space (X,H,) of the form F = 1 Z E (r" @default.
- W2159780229 created "2016-06-24" @default.
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- W2159780229 date "2008-04-01" @default.
- W2159780229 modified "2023-09-25" @default.
- W2159780229 title "Quadratic Wiener functionals of square norms on measure spaces" @default.
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- W2159780229 doi "https://doi.org/10.31390/cosa.2.1.02" @default.
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