Journal article
Duality questions for operators, spectrum and measures
Acta applicandae mathematicae, Vol.108(3), pp.515-528
2009
DOI: 10.1007/s10440-008-9427-8
Abstract
We explore spectral duality in the context of measures in ℝn, 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 ℝn, formulated first by Jorgensen and Pedersen.
Details
- Title: Subtitle
- Duality questions for operators, spectrum and measures
- Creators
- Dorin Ervin DutkayPalle E.T Jorgensen
- Resource Type
- Journal article
- Publication Details
- Acta applicandae mathematicae, Vol.108(3), pp.515-528
- DOI
- 10.1007/s10440-008-9427-8
- ISSN
- 1572-9036
- eISSN
- 1572-9036
- Language
- English
- Date published
- 2009
- Academic Unit
- Mathematics
- Record Identifier
- 9983985942202771
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