Interpolation in the Hardy space

被引：5

作者：

Vu Kim Tuan ^{[1
]}

Nguyen Thanh Hong ^{[2
]}

机构：

[1] Univ West Georgia, Dept Math, Carrollton, GA 30118 USA

[2] Hanoi Natl Univ Educ, Sch Gifted, Hanoi, Vietnam

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2013年 / 24卷 / 08期

关键词：

Hardy space; interpolation; reproducing kernel Hilbert space; inverse Laplace transform; EIGENVALUES; FORMULA;

D O I：

10.1080/10652469.2012.749874

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an interpolation formula for functions in the Hardy space on the right-half plane and prove its convergence in norm and pointwise under very general condition. We also obtain an inverse formula for the Laplace transform from data on a finite interval.

引用

页码：664 / 671

页数：8

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