Title: Free Probability.
Abstract: We study a family of free stochastic processes whose covariance kernels K may be derived as a transform
of tempered measures σ. These processes arise, for example, in consideration of non-commutative analysis
involving free probability. Hence our use of semi-circle distributions, as opposed to Gaussians. In this
setting we find an orthonormal basis in the corresponding non-commutative L2 of sample-space. We define
a stochastic integral for our family of free processes. (Joint work with Daniel Alpay, and Guy Salomona.)