The Wiener-Hopf integral equation for fractional Riesz-Bessel motion

This paper gives an approximate solution to the Wiener-Hopf integral equati on for filtering fractional Riesz-Bessel motion. This is obtained by showin g that the corresponding covariance operator of the integral equation is a continuous isomorphism between appropriate fractional Sobolev spaces. The p roof relies on properties of the Riesz and Bessel potentials and the theory of fractional Sobolev spaces.