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Title: Matrix Wiener-Hopf-Hilbert factorisation
Authors: Rawlins, AD
Keywords: Wiener-Hopf-Hilbert method;Diffraction;Matrix factorisation
Issue Date: 1-Jan-1986
Publisher: Society for Industrial and Applied Mathematics
Citation: Rawlins, A.D. (1986) 'Matrix Wiener-Hopf-Hilbert factorisation', SIAM Journal on Applied Mathematics. 46(1), pp. 133-139. doi: 10.1137/0146011.
Abstract: 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.
ISSN: 0036-1399
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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