De Paepe's Disc has Nontrivial Polynomial Hull |
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Authors: | O'Farrell A G; Sanabria-Garcia M A |
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Institution: | Department of Mathematics, National University of Ireland Maynooth, Co. Kildare, Ireland; aof{at}maths.may.ie, manuel{at}maths.may.ie |
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Abstract: | The topological disc (De Paepe's)
isshown here to have non-trivial polynomially convex hull. Infact, the authors show that this holds for all discs of theform , where f is holomorphicon |z| r, and f(z=z2+a3z3+..., with all coefficients an real,and at least one a2n+1 0. 2000 Mathematics Subject Classification32E20. |
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Keywords: | |
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