Complete interpolating sequences, the discrete Muckenhoupt condition, and conformal mapping
Complex Variables
2007-08-22 v1
Abstract
We extend the parameterization of sine-type functions in terms of conformal mappings onto slit domains given by Eremenko and Sodin to the more general case of generating functions of real complete interpolating sequences. It turns out that the cuts have to fulfill the discrete Muckenhoupt condition studied earlier by Lyubarskii and Seip.
Cite
@article{arxiv.0708.2787,
title = {Complete interpolating sequences, the discrete Muckenhoupt condition, and conformal mapping},
author = {Gunter Semmler},
journal= {arXiv preprint arXiv:0708.2787},
year = {2007}
}
Comments
26 pages, 3 figures