S[a,b]类中边界Nevanlinna-Pick插值(Ⅱ)

The Boundary Nevanlinna-Pick Interpolation In the Class S[a,b]

中文关键词:  S[a  b]类  BNP（S[a  b]）问题  BNP（N[a  Hausdorff矩量问题  Han-kel向量

英文关键词:S[a  b] class  BNP （S[a  b]） problem  BNP （N[a  Hausdorff moment problem.

中文摘要:

      继续作者最近的研究,用所谓的Hankel向量方法建立S[a,b]函数类中带边界插值数据的Nevanlinna-Pick插值问题与[a,b]上的某种带约束条件的Hausdorff矩量问题之间解集之间明确的一一对应关系.通过N[a,b]函数类与S[a,b]函数类之间的联系,从而由BNP(N[a,b])问题的可解性准则和解的参数化描述获得BNP(S[a,b)问题的可解性准则和解的参数化表示.

英文摘要:

      We pursue our previous investigations of establishing a one-to-one correspondence between the solutions to the BNP (N[a,b) problem and the solutions to the Hausdorff mon-ment problem with a certain constraint via the so-called Hankel vector approach. By the connection between the class N[a,b] and the class S[a,b], the author obtains the solvability criteria and the parametrized descriptions of the BNP (S[a,b]) problem in terms of that of the BNP (N[a,b]) problem.