On translates of the Poisson kernel and zeros of harmonic functions |
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Authors: | Bruna, Joaquim Melnikov, Mark |
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Affiliation: | Departament de Matemàtiques Universitat Autònoma de Barcelona 08193 Barcelona Catalunya Spain markmel{at}mat.uab.es bruna{at}mat.uab.es |
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Abstract: | We characterize the systems of translates of the Poisson kernelspanning Lp(), 1 p < . An equivalent formulation in termsof discrete uniqueness sets for harmonic functions is given,together with a Blaschke-type condition for the zero varietyof bounded harmonic functions in the unit disk. |
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