Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/192390
Title: | Traces of the Nevanlinna class on discrete sequences |
Author: | Hartmann, Andreas Massaneda Clares, Francesc Xavier Nicolau Nos, Artur |
Keywords: | Teoria de Nevanlinna Interpolació (Matemàtica) Anàlisi harmònica Nevanlinna theory Interpolation Harmonic analysis |
Issue Date: | 17-Jul-2017 |
Publisher: | Springer Verlag |
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. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1007/s11785-017-0704-2 |
It is part of: | Complex Analysis and Operator Theory, 2017, vol. 12, num. 8, p. 1945-1958 |
URI: | http://hdl.handle.net/2445/192390 |
Related resource: | https://doi.org/10.1007/s11785-017-0704-2 |
ISSN: | 1661-8254 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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