A linear programming problem in harmonic analysis |
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| Authors: | Charles F. Dunkl Donald E. Ramirez |
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| Affiliation: | Department of Mathematics University of Virginia Charlottesville, Virginia 22903, USA |
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| Abstract: | ![]()
For a given subset E of the natural numbers it is desired to maximize Σn?Ean subject to an?0, 1+Σn?Ean cosnθ?0 for θ?[0,π]. A dual program is defined, and a duality principle is established. Extensions to other series of functions are given, and these include the motivating example of P. Delsarte [Philips Res. Repts.27 (1972), 272–289]. |
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