Matrix Wiener-Hopf factorisation

Abstract

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Quarterly Journal of Mechanics and Applied Mathematics following peer review. The definitive publisher-authenticated version can be obtained from the links below.A direct method is described for effecting the Wiener-Hopf factorisation of a particular class of matrices. It is shown that the factorisation problem can, for this class of matrix, be transformed to one of solving two independent Hilbert problems on a half-line