On a universal differential equation for the analytic terms of C-superpositions on the real line |
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Authors: | Carsten Elsner |
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Institution: | Department of Mathematics, University of Hannover, Welfengarten 1, D-30167 Hannover, Germany |
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Abstract: | It is proved that every continuous function on the real line can be approximated uniformly (in the sense of a specific norm) by superpositions of analytic functions, which are solutions of a single universal differential equation. Every superposition is some function belonging to . This improves a former result of the author, from which the superpositions are known to be continuous. |
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