Article ID Journal Published Year Pages File Type
4607197 Journal of Approximation Theory 2014 31 Pages PDF
Abstract

We generalize the Korkin–Zolotarev theorem to the case of entire functions having the smallest L1L1 norm on a system of intervals EE. If C∖EC∖E is a domain of Widom type with the Direct Cauchy Theorem, we give an explicit formula for the minimal deviation. Important relations between the problem and the theory of canonical systems with reflectionless resolvent functions are shown.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
,