Name
Abstract | ||
|---|---|---|
Let D be be the open unit disc, H∞0 the space of all bounded analytic functions in D and H∞k the set of all functions of the form f(z)/(z−z1)...(z−zk) where z1,...,zk ∈ D and f ∈ H∞0. Given {z1,...,zn},{w1,...,wn}, where zi ∈D,wi ∈ ** and zi≠zj if i≠j, we show for 0≤k≤n−1, under certain assumptions, how to construct the unique interpolating function Bk∈H∞k, Bk(zj)=wj, of minimal essential supremum norm on ∂D by solving an eigenvalue problem defined by the interpolation data. The function Bk is a scaled quotient of two finite Blaschke products. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s00211-005-0584-7 | Numerische Mathematik |
Keywords | Field | DocType |
open unit disc,certain assumption,function bk,bounded analytic function,interpolation data,new algorithm,finite blaschke product,unique interpolating function,meromorphic nevanlinna-pick interpolation,minimal essential supremum norm,eigenvalue problem,blaschke product | Mathematical analysis,Meromorphic function,Quotient,Nevanlinna–Pick interpolation,Interpolation,Analytic function,Essential supremum and essential infimum,Blaschke product,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
100 | 1 | 0945-3245 |
Citations | PageRank | References |
1 | 0.63 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christer Glader | 1 | 1 | 1.30 |
| Mikael Lindström | 2 | 1 | 0.96 |