Convergence of Classical Cardinal Series

  • W. R. MadychEmail author


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.


Cardinal Series Symmetric Partial Sums Classical Sampling Theory Interpolation Problem Entire Function 
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© Springer New York 2013

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ConnecticutStorrsUSA

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