| 吴化璋.S[a,b]类中边界Nevanlinna-Pick插值(Ⅱ)[J].数学研究及应用,2004,24(3):559~568 |
| S[a,b]类中边界Nevanlinna-Pick插值(Ⅱ) |
| The Boundary Nevanlinna-Pick Interpolation In the Class S[a,b] |
| 投稿时间：2002-06-03 |
| DOI：10.3770/j.issn:1000-341X.2004.03.026 |
| 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. |
| 基金项目: |
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| 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. |
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