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Left versus right canonical Wiener-Hopf factorization and realization
Authors:G J Groenewald  M A Petersen  Y Zucker
Institution:(1) Dept. of Math. and Applied Math., University of the Western Cape, Private Bag X17, 7535 Bellville, South Africa;(2) Raymond and Beverly Sackler Faculty of Exact Sciences School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Israel
Abstract:For an arbitrary rational matrix function, not necessarily analytic at infinity, the existence of a right canonical Wiener-Hopf factorization is characterized in terms of a left canonical Wiener-Hopf factorization. Formulas for the factors in a right factorization are given in terms of the formulas for the factors in a given left factorization. All formulas are based on a special representation of a rational matrix function involving a quintet of matrices.
Keywords:47A68  47A56  47A62
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