Abstract
We investigate properties of local time for one class of Gaussian processes. These processes are called integrators since every function from L2([0; 1]) can be integrated over it. Using the white noise representation, we can associate integrators with continuous linear operators in L2([0; 1]). In terms of these operators, we discuss the existence and properties of local time for integrators. Also, we study the asymptotic behavior of Brownian self-intersection local time as its end-point tends to infinity.
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