If they are limit periodic?

Details If they are limit periodic? If they are limit periodic?

2004-01-28

arxiv.org/abs/math/0401391v2

Mathematics

Spectral Theory

misprints corrected, acknowledgment added

Scientific paper

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.

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