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On translates of the Poisson kernel and zeros of harmonic functions
Authors:Bruna, Joaquim   Melnikov, Mark
Affiliation:Departament de Matemàtiques
Universitat Autònoma de Barcelona
08193 Barcelona
Catalunya
Spain
markmel{at}mat.uab.es
bruna{at}mat.uab.es
Abstract:We characterize the systems of translates of the Poisson kernelspanning Lp(R), 1 ≤ p < {infty}. 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.
Keywords:
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