L 2 formulas for entire functions of exponential type
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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.
KeywordsEntire Function Quadrature Formula Exponential Type Orthogonality Property Interpolation Formula
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- G. N. Watson,A Treatise on the Theory of Bessel Functions, 2nd edition, Cambridge Univ. Press, Cambridge, 1952.Google Scholar