Quadratic Wiener functionals of square norms on measure spaces

Setsuo Taniguchi
2008 Communications on Stochastic Analysis  
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.
doi:10.31390/cosa.2.1.02 fatcat:iih4a6oanzhj3cdx772wgdtr6e