Name
Abstract | ||
|---|---|---|
We consider rational moment problems on the real line with their associated orthogonal rational functions. There exists a Nevanlinna-type parameterization relating to the problem, with associated Nevanlinna matrices of functions having singularities in the closure of the set of poles of the rational functions belonging to the problem. We prove results related to the growth at the singularities of the functions in a Nevanlinna matrix, and in particular provide bounds on the growth analogous to the corresponding result in the classical polynomial case, when the number of singularities is finite. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.jat.2010.07.003 | Journal of Approximation Theory |
Keywords | Field | DocType |
30e05,nevanlinna-type parameterization,classical polynomial case,42c05,corresponding result,growth estimates 2000 msc: 30d15,rational moment problem,associated orthogonal rational function,riesz type criterion,nevanlinna matrix,real line,orthogonal rational functions,nevanlinna parameterization,rational moment problems,44a60,rational function,growth property,moment problem | Elliptic rational functions,Mathematical optimization,Parametrization,Polynomial,Mathematical analysis,Real line,Matrix (mathematics),Gravitational singularity,Rational function,Polynomial and rational function modeling,Mathematics | Journal |
Volume | Issue | ISSN |
162 | 12 | 0021-9045 |
Citations | PageRank | References |
2 | 0.63 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Bultheel | 1 | 117 | 17.02 |
| P. González-Vera | 2 | 46 | 9.45 |
| E. Hendriksen | 3 | 24 | 5.67 |
| O. Njåstad | 4 | 10 | 1.96 |