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References
G. Cybenko, Approximation by superpositions of a sigmoidal function,Math. Control Signals Systems,2 (1989), 303–314.
W. Dahmen and C. A. Micchelli, Some remarks on ridge functions,Approx. Theory Appl.,3 (1987), 139–142.
R. T. Melton, Comments on “Approximation by Superpositions of a Sigmoidal Function,” personal communication, March 26, 1992.
Additional information
We thank Raymond T. Melton, who pointed out the error in the proof of Lemma 1 in [C] and supplied a proof, showing that the Fourier transform of the measure μ must be zero because the μ-measure of every half-plane is zero [M].
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Cybenko, G. Approximation by superpositions of a sigmoidal function. Math. Control Signal Systems 5, 455 (1992). https://doi.org/10.1007/BF02134016
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DOI: https://doi.org/10.1007/BF02134016