Traces of the Nevanlinna class on discrete sequences
Language
en
Article de revue
This item was published in
Complex Analysis and Operator Theory. 2018, vol. 12, n° 8, p. 1945-1958
Springer Verlag
English 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 ...Read more >
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.Read less <
English Keywords
Divided differences
Interpolating sequences
Nevanlinna class
Origin
Hal imported