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Traces of the Nevanlinna Class on Discrete Sequences |
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| Authors: | A Hartmann X Massaneda A Nicolau |
| Institution: | 1.IMB, UMR 5251, CNRS,University of Bordeaux,Talence,France;2.Departament de Matemàtiques i Informàtica and BGSMath,Universitat de Barcelona,Barcelona,Spain;3.Departament de Matemàtiques,Universitat Autònoma de Barcelona,Bellaterra,Spain |
| Abstract: | We show that a discrete sequence \(\Lambda \) of the unit disk is the union of n interpolating sequences for the Nevanlinna class \(\mathcal {N}\) if and only if the trace of \(\mathcal {N}\) on \(\Lambda \) coincides with the space of functions on \(\Lambda \) for which the divided differences of order \(n-1\) are uniformly controlled by a positive harmonic function. |
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