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Eigenfunctions for smooth expanding circle maps

Gerhard Keller·Hans Henrik Rugh
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Abstract

We construct a real-analytic circle map for which the corresponding Perron-Frobenius operator has a real-analytic eigenfunction with an eigenvalue outside the essential spectral radius when acting upon $C^1$-functions.

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Gerhard Keller, Hans Henrik Rugh. 2004-05-04. Eigenfunctions for smooth expanding circle maps. https://doi.org/10.1088/0951-7715%2F17%2F5%2F009

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