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Convergence of Classical Cardinal Series

  • W. R. MadychEmail author
Chapter

Abstract

We consider symmetric partial sums of the classical cardinal series and record necessary and sufficient conditions for convergence. Included are growth conditions on the coefficients that imply analogous asymptotic behavior of the function represented by the series. Several relatively immediate corollaries are also recorded, including sampling-type theorems.

Keywords

Cardinal Series Symmetric Partial Sums Classical Sampling Theory Interpolation Problem Entire Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer New York 2013

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ConnecticutStorrsUSA

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