A Variation on Selberg's Approximation Problem
Classical Analysis and ODEs
2019-02-20 v2 Complex Variables
Functional Analysis
Number Theory
Abstract
Let in the upper half-plane and let be an interval. We construct an analogue of Selberg's majorant of the characteristic function of that vanishes at the point . The construction is based on the solution to an extremal problem with positivity and interpolation constraints.
Cite
@article{arxiv.1401.0904,
title = {A Variation on Selberg's Approximation Problem},
author = {Michael Kelly},
journal= {arXiv preprint arXiv:1401.0904},
year = {2019}
}
Comments
21 pages. A few typos corrected for version 2