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Spectral properties of continuous refinement operators |
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| Authors: | R Q Jia S L Lee A Sharma |
| Institution: | Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1 ; Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 0511 ; Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1 |
| Abstract: | This paper studies the spectrum of continuous refinement operators and relates their spectral properties with the solutions of the corresponding continuous refinement equations. |
| Keywords: | Continuous refinement equations up function continuous refinement operators compact operators spectrum spectral radius eigenvalues dilation constant power iteration |
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