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Wiener-Hopf factorization of a class of matrix functions and Corona theorem

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Wuhan University Journal of Natural Sciences

Abstract

By using Riemann-Hilbert method and Corona theorem, Wiener-Hopf factorization for a class of matrix functions is studied. Under appropriate assumption, a sufficient and necessary condition for the existence of the matrix function admitting canonical factorization is obtained and the solution to a class of non-linear Riemann-Hilbert problem is also given. Furthermore, by means of non-standard Corona theorem partial estimation of the general factorization can be obtained.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China

    Guoan Guo & Jinyuan Du

Authors
  1. Guoan Guo
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  2. Jinyuan Du
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Correspondence to Jinyuan Du.

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Foundation item: Supported by the National Natural Science Foundation of China(10471107) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (20060486001)

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Guo, G., Du, J. Wiener-Hopf factorization of a class of matrix functions and Corona theorem. Wuhan Univ. J. Nat. Sci. 14, 1–5 (2009). https://doi.org/10.1007/s11859-009-0101-4

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  • DOI: https://doi.org/10.1007/s11859-009-0101-4

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