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.
Mathematics subject classification (2000): 40A30; 94A20
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Madych, W.R. (2013). Convergence of Classical Cardinal Series. In: Shen, X., Zayed, A. (eds) Multiscale Signal Analysis and Modeling. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4145-8_1
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DOI: https://doi.org/10.1007/978-1-4614-4145-8_1
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