Kotani–Last problem and Hardy spaces on surfaces of Widom type

A. Volberg; P. Yuditskii

doi:10.1007/s00222-013-0495-7

Kotani–Last problem and Hardy spaces on surfaces of Widom type

A. Volberg, P. Yuditskii

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Abstract

This is a small theory of non almost periodic ergodic families of Jacobi matrices with purely (however) absolutely continuous spectrum. The reason why this effect may happen is that under our “axioms” we found an analytic condition on the resolvent set that is responsible for (exactly equivalent to) this effect.

Original language	English
Pages (from-to)	683-740
Number of pages	58
Journal	Inventiones Mathematicae
Volume	197
Issue number	3
DOIs	https://doi.org/10.1007/s00222-013-0495-7
State	Published - 1 Sep 2014
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2013, Springer-Verlag Berlin Heidelberg.

Funding

A. Volberg is supported by NSF grant DMS 0758552 and DMS1265549, he also thanks the J. Kepler University of Linz for the hospitality during his visit in summer 2012. P. Yuditskii is supported by the Austrian Science Fund FWF, project no: P25591-N18.

Funders	Funder number
National Sleep Foundation	DMS 0758552, DMS1265549
Austrian Science Fund	P25591-N18

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Kotani–Last problem and Hardy spaces on surfaces of Widom type

Abstract

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Funding

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