Continuous and discrete frames on Julia sets |
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| Institution: | 1. Department of Mathematics, Mailstop 3368, Texas A & M University, College Station, TX 77843-3368, United States;2. Mathematics Department, University of Missouri, Columbia, MO 65211, United States;1. University of Padova, Department of Mathematics, Via Trieste, 63, I-35121 Padova, Italy;2. Vrije Universiteit Brussel, Department ELEC, Pleinlaan 2, B-1050, Brussels, Belgium |
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| Abstract: | A frame is an overcomplete family of vectors in a Hilbert space in which the orthogonality condition is relaxed. The Julia set is the chaotic regime of a rational function. In this note, we label frames of an abstract Hilbert space by elements of the Julia set of a rational function. |
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