Duality questions for operators, spectrum and measures

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dc.creatorDutkay, Dorim Ervin
dc.creatorJorgensen, Palle E. T.
dc.date2008-09-19
dc.date.accessioned2026-07-07T10:03:58Z
dc.date.available2026-07-07T10:03:58Z
dc.descriptionWe explore spectral duality in the context of measures in $\br^n$, starting with partial differential operators and Fuglede's question (1974) about the relationship between orthogonal bases of complex exponentials in $L^2(Ω)$ and tiling properties of $Ω$, then continuing with affine iterated function systems. We review results in the literature from 1974 up to the present, and we relate them to a general framework for spectral duality for pairs of Borel measures in $\br^n$, formulated first by Jorgensen and Pedersen.
dc.identifierhttps://arxiv.org/abs/0809.3274
dc.identifierhttp://arxiv.org/abs/0809.3274
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169491
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subject28A80, 37B50, 47A75, 46G12, 42C10.
dc.titleDuality questions for operators, spectrum and measures
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