The representation of conditional expectations of non-Gaussian noise

Kuna, T. and Streit, L. (2007) The representation of conditional expectations of non-Gaussian noise. Communications on Stochastic Analysis, 1 (1). pp. 49-56. ISSN ISSN 0973-9599

Abstract/Summary

For Wiener spaces conditional expectations and $L^{2}$-martingales w.r.t. the natural filtration have a natural representation in terms of chaos expansion. In this note an extension to larger classes of processes is discussed. In particular, it is pointed out that orthogonality of the chaos expansion is not required.