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Generalized factorization for a class of non-rational 2×2 matrix functions

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Abstract

In this paper the generalized factorization for a class of 2×2 piecewise continuous matrix functions on ℝ is studied. Using a space transformation the problem is reduced to the generalized factorization of a scalar piecewise continuous function on a contour in the complex plane. Both canonical and non-canonical generalized factorization of the original matrix function are studied.

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Authors and Affiliations

  1. Departmento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1096, Lisboa Codex, Portugal

    A. B. Lebre & A. F. dos Santos

  2. Centro de Análise e Processamento de Sinais Complexo I do I.N.I.C., Av. Rovisco Pais, 1000, Lisboa, Portugal

    A. B. Lebre & A. F. dos Santos

Authors
  1. A. B. Lebre
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  2. A. F. dos Santos
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Sponsored by J.N.I.C.T. (Portugal) under grant no. 87422/MATM

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Lebre, A.B., dos Santos, A.F. Generalized factorization for a class of non-rational 2×2 matrix functions. Integr equ oper theory 13, 671–700 (1990). https://doi.org/10.1007/BF01732318

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  • DOI: https://doi.org/10.1007/BF01732318

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