Eigenfunctions for smooth expanding circle maps
Gerhard Keller; Hans Henrik Rugh
Журнал:
Nonlinearity
Дата:
2004-09-01
Аннотация:
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<sup>1</sup>-functions.
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