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L 2 formulas for entire functions of exponential type
Authors:Clément Frappier
Institution:(1) Départment de mathématiques appliquées école Polytechnique de Montréal, Campus de l'Université de Montréal, Succursale Centre-ville, Case postale 6079, H3C 3A7 Montréal, Québec, Canada
Abstract:We express the integral of |f(x)|2,−∞<x<∞, as a summation involving different kind of nodes. Heref is an entire function of exponential type satisfying a certain growth condition. The method of proof uses interpolation formulas and orthogonality properties for some classes of entire functions of exponential type.
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