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A CHARACTERIZATION OF WEAKLY REGULAR LINEAR FUNCTIONALS

A CHARACTERIZATION OF WEAKLY REGULAR LINEAR FUNCTIONALS

A linear functional is said to be weakly-regular if it is not a finite sum of Dirac masses and their derivatives. In this paper, we consider the first-order linear differential equations (Eu)'+Fu=0 where u is a non-zero linear functional and (E,F) is a pair of polynomials, with E monic. The …