- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:44
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
24
2008
1
Sampling Sets for the Nevanlinna class
Xavier
Massaneda
Universitat de Barcelona, BARCELONA, SPAIN
Pascal
Thomas
Université Paul Sabatier, TOULOUSE CEDEX 9, FRANCE
Sampling sets, determination sets, Nevanlinna class, Smirnov class
We propose a definition of sampling set for the Nevanlinna and Smirnov classes in the disk and show its equivalence with the notion of determination set for the same classes. We also show the relationship with determination sets for related classes of functions and deduce a characterization of Smirnov sampling sets. For Nevanlinna sampling we give general conditions (necessary or sufficient), from which we obtain precise geometric descriptions in several regular cases.
Functions of a complex variable
General
353
385
10.4171/RMI/538
http://www.ems-ph.org/doi/10.4171/RMI/538