Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607136 | Journal of Approximation Theory | 2014 | 19 Pages |
Abstract
In this paper, various growth rates and oscillation conditions for entire functions of exponential type ππ are given which ensure validity of the classical cardinal series. Among other applications, a theorem of Plancherel and Polya is extended to show that any function of exponential type ππ which decays to 0 along the real axis is a convergent cardinal series. Examples of functions which show the limitations of this extension are also presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
B.A. Bailey, W.R. Madych,