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Extremal problems for Fredholm eigenvalues

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Abstract

The study of extremal problems for Fredholm eigenvalues was initiated by Schiffer in the context of the existence of conformal maps onto canonical domains.

We present a different approach to solving rather general extremal problems for Fredholm eigenvalues related to appropriate univalent functions with quasiconformal extensions. It involves the complex geometry of the universal Teichmüller space.

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Authors and Affiliations

  1. Department of Mathematics, Bar-Ilan University, 52900, Ramat-Gan, Israel

    Samuel Krushkal

  2. Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA

    Samuel Krushkal

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  1. Samuel Krushkal
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Correspondence to Samuel Krushkal.

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Krushkal, S. Extremal problems for Fredholm eigenvalues. Isr. J. Math. 172, 279–307 (2009). https://doi.org/10.1007/s11856-009-0073-2

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  • DOI: https://doi.org/10.1007/s11856-009-0073-2

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