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math.PR2010★ 15 cited
Malliavin-Skorohod calculus and Paley-Wiener integral for covariance singular processes
Ida Kruk, Francesco Russo
We develop a stochastic analysis for a Gaussian process with singular covariance by an intrinsic procedure focusing on several examples such as covariance measure structure pro…
math.PR2006
Wiener integrals, Malliavin calculus and covariance measure structure
Ida Kruk, Francesco Russo, Ciprian Tudor
We introduce the notion of {\em covariance measure structure} for square integrable stochastic processes. We define Wiener integral, we develop a suitable formalism for stochastic…