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A new matrix characterization of fredholm eigenvalues of quasicircles

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Abstract

We give a new characterization of the Fredholm eigenvalues of a quasicircle or of a quasisymmetric transformation. This leads to a matrix eigenvalue problem for a suitable Hermitian matrix. There are connections to extremal quasiconformal mappings and reflections.

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Authors and Affiliations

  1. FB Mathematik und Informatik, Martin-Luther-Universität Halle-Wittenberg, D-06099, Halle-Saale, Germany

    Reiner Kühnau

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  1. Reiner Kühnau
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Kühnau, R. A new matrix characterization of fredholm eigenvalues of quasicircles. J. Anal. Math. 99, 295–307 (2006). https://doi.org/10.1007/BF02789449

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  • DOI: https://doi.org/10.1007/BF02789449

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