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Matrix Wiener-Hopf-Hilbert factorisation

By AD Rawlins


A method is described for effecting the explicit Wiener-Hopf factorisation of a class of (2 x 2)-matrices. The class is determined such that the factorisation problem can be reduced to a matrix Hilbert problem which involves an upper or lower triangular matrix. Then the matrix Hilbert problem can be further reduced to three scalar Hilbert problems on a half-line, which are solvable in the standard manner

Topics: Wiener-Hopf-Hilbert method, Diffraction, Matrix factorisation
Publisher: Society for Industrial and Applied Mathematics
Year: 1986
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