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Paul Armand (paul.armandunilim.fr) Abstract: We describe the theoretical solution of an approximation problem that uses a finite weighted sum of complex exponential functions. The problem arises in an optimization model for the design of a telescopes array occurring within optical interferometry for direct imaging in astronomy. The problem is to find the optimal weights and the optimal positions of a regularized spaced array of aligned telescopes, so that the resulting interference function approximates the zero function on a given interval. The solution is given by means of Chebyshev polynomials. Keywords: Chebyshev approximation, Chebyshev polynomials, complex exponential functions, interferometry, optimization Category 1: Applications  Science and Engineering Citation: XLIM research report  Universite de Limoges (FRANCE) Download: [PDF] Entry Submitted: 09/22/2009 Modify/Update this entry  
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