Interpolation and Sampling with Exponential Splines of Real Order

被引：0
作者：
Peter Massopust
机构：
[1] Technical University of Munich,Centre of Mathematics
来源：
Results in Mathematics | 2021年 / 76卷
关键词：
Exponential spline; interpolation; fundamental cardinal spline; sampling; Hurwitz zeta function; Kramer’s lemma; 11M35; 65D05; 65D07; 94A11; 94A20;
D O I：
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摘要：
The existence of fundamental cardinal exponential B-splines of positive real order σ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma $$\end{document} is established subject to two conditions on σ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma $$\end{document} and their construction is implemented. A sampling result for these fundamental cardinal exponential B-splines is also presented.
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