Reflectionless measures with a point mass and singular continuous component

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dc.creatorNazarov, F.
dc.creatorVolberg, A.
dc.creatorYuditskii, P.
dc.date2007-11-06
dc.date.accessioned2026-07-07T08:41:05Z
dc.date.available2026-07-07T08:41:05Z
dc.descriptionWe construct mesures supported on a compact subset E of the real line having zero principal value of their Cauchy integral a.e. on E with respect to Lebesgue measure and having singular components. E is sufficiently regular (Widom property is satisfied) but not homogeneous as for homogeneous spectrum such construction is impossible. This impossibility played an important role in characterizing almost periodic Jacobi matrices with homogeneous spectrum (Sodin-Yuditskii).
dc.identifierhttps://arxiv.org/abs/0711.0948
dc.identifierhttp://arxiv.org/abs/0711.0948
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141570
dc.subjectMathematical Physics
dc.subjectComplex Variables
dc.subject35Jxx, 30C05, 30D05
dc.titleReflectionless measures with a point mass and singular continuous component
dc.typetext

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