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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/192390
Traces of the Nevanlinna class on discrete sequences
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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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HARTMANN, Andreas, MASSANEDA CLARES, Francesc Xavier and NICOLAU NOS, Artur. Traces of the Nevanlinna class on discrete sequences. Complex Analysis and Operator Theory. 2017. Vol. 12, num. 8, pags. 1945-1958. ISSN 1661-8254. [consulted: 16 of October of 2026]. Available at: https://hdl.handle.net/2445/192390