Extremal problems for Fredholm eigenvalues |
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| Authors: | Samuel Krushkal |
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| Affiliation: | (1) Department of Mathematics, Bar-Ilan University, 52900 Ramat-Gan, Israel;(2) Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA |
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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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