Abstract
§1. The Cardinal Function of Interpolation Theory is the functionwhich takes the values an at the points x = n. Ferrar has recently provedTheorem1. If are convergent, C(x)is an m-function3forThis means that C(x) is a solution of the intergral equationFerrar's proof deals with functions of a real variable and involves some rather difficult double limit considerations.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. On an Integral Equation
2. On the Cardinal Function of Interpolation Theory
3. It is an elementary consequence of the result (given in Whittaker and Watson, Modern Analysis (1920), § 22. 737), .
4. XVIII.—On the Functions which are represented by the Expansions of the Interpolation-Theory
5. §§3, 4 have been rewritten in accordance with the valuable suggestions of Mr Ferrar W. L. , who kindly read the paper in manuscript.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. The cardinal series in Hilbert space;Mathematical Proceedings of the Cambridge Philosophical Society;1949-07