If they are limit periodic?

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We prove a partial result concerning the long-standing problem on limit periodicity of the Jacobi matrix associated with the balanced measure on the Julia set of an expending polynomial. Besides this, connections of the problem with the Faybusovich--Gekhtman flow and many other objects (the Hilbert transform, the Schwarz derivative, the Ruelle and Laplace operators) that, we sure, are of an independent interest, are discussed.
misprints corrected, acknowledgment added

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Spectral Theory, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/69994

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401391
 http://arxiv.org/abs/math/0401391

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arXiv