Regularization of certain divergent series of polynomials

Mathematics – Combinatorics

Scientific paper

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9 pages

Scientific paper

We investigate the Cesaro and Abel sums of divergent series of the form
$\sum_{n\geq 0} a_n T^nP(x)$, where $P$ is a real polynomial and $T$ is a
translation invariant operator on the space of real polynomials.

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