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Littlewood's One Circle Problem |
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| Authors: | Hansen, W. Nadirashvili, N. |
| Affiliation: | Fakultät für Mathematik, Universität Bielefeld, Universitätsstraße D-33501 Bielefeld, Germany |
| Abstract: | It is shown that Littlewood's one circle problem has a negativeanswer, that is, there exists a continuous bounded functionf on the unit disk U such that f is not harmonic, but neverthelessfor every x  U the equality  holds for some r(x) with 0 < r(x) < 1 – ||x||. |
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