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On the completeness of systems of recursive integrals

Commun. Math. Anal. Conf.
Conference 3 (2011), 172 - 176

On the completeness of systems of recursive integrals

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Abstract

Given a sufficiently smooth, nonvanishing complex valued function of a real variable defined on a finite interval, we show that it generates a complete system of functions in the L2-space constructed by means of a recursive integration procedure.