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- Argonne National LaboratoryUS6 papers
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- Fermi National Accelerator LaboratoryUS5 papers
- University of MichiganUS5 papers
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- Iowa State UniversityUS4 papers
- Northwestern UniversityUS4 papers
- Ohio UniversityUS4 papers
- Ruhr University BochumDE4 papers
- University of ArizonaUS4 papers
- University of Central FloridaUS4 papers
10 papers · 1 filter
Duality questions for operators, spectrum and measures
Dorim Ervin Dutkay, Palle E. T. Jorgensen
We 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 orthogo…
Probability and Fourier duality for affine iterated function systems
Dorin Ervin Dutkay, Palle Jorgensen
Let be a positive integer, and let be a finite measure on $\br^d$. In this paper we ask when it is possible to find a subset in $\br^d$ such that the corresponding comp…
Optimal Decompositions of Translations of -functions
Palle E. T. Jorgensen, Myung-Sin Song
In this paper we offer a computational approach to the spectral function for a finite family of commuting operators, and give applications. Motivated by questions in wavelets and i…
k-hyponormality of multivariable weighted shifts
Raul E. Curto, Sang Hoon Lee, Jasang Yoon
We characterize joint k-hyponormality for 2-variable weighted shifts. Using this characterization we construct a family of examples which establishes and illustrates the gap betwee…
k-hyponormality of finite rank perturbations of unilateral weighted shifts
Raul E. Curto, Woo Young Lee
In this paper we explore finite rank perturbations of unilateral weighted shifts . First, we prove that the subnormality of is never stable under nonzero finite rank per…
Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal
Raul Curto, Jasang Yoon
We construct three different families of commuting pairs of subnormal operators, jointly hyponormal but not admitting commuting normal extensions. Each such family can be used to a…