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paper

Eigenfunctions for smooth expanding circle maps

arXiv:math/0405055 · doi:10.1088/0951-7715/17/5/009

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.

10 pages, 2 figures