Traces of the Nevanlinna class on discrete sequences

A Hartmann; X Massaneda; A Nicolau

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arXiv · 1702.04974

Traces of the Nevanlinna class on discrete sequences

A Hartmann·X Massaneda·A Nicolau

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Abstract

We show that a discrete sequence $\Lambda$ of the unit disk is the union of $n$ interpolating sequences for the Nevanlinna class $N$ if and only if the trace of $N$ 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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BibTeX RIS

A Hartmann, X Massaneda, A Nicolau. 2017-02-16. Traces of the Nevanlinna class on discrete sequences. https://arxiv.org/abs/1702.04974

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