A theorem and some examples are given concerning the convergence, in a space of generalized functions, of power series whose terms contain successive derivatives of a given function. One example is the Euler-Maclaurin sum formula, where there are some novelties.
AMS (1980) subject classificationPrimary 40A30, 44A30 Secondary 65B15, 30D05, 44A10, 44A35
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