Eigenfunctions for smooth expanding circle maps
classification
🧮 math.DS
keywords
circlereal-analyticactingconstructcorrespondingeigenfunctioneigenfunctionseigenvalue
read the original 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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