Extensions of some finite difference equations for the case of distributions
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Fenyő, I., On the general solution of a functional equation in the domain of distributions. Aequationes Math. 3 (1969), 236-246, MR0611691, https://doi.org/10.1007/bf01817444
Frechet, M., Une définition fonctionnelle des polynomes, Neuv. Ann. Math., 9, 145-162, 1909.
Popoviciu, T., Sur les solutions bornées et mesurables de quelques équations functionnelles, Mathematica, Cluj, 14, 47-106, 1938.
Schwartz, Laurent, (French) Publications de l'Institut de Mathématique de l'Université de Strasbourg, No. IX-X. Nouvelle édition, entiérement corrigée, refondue et augmentée. Hermann, Paris 1966 xiii+420 pp., MR0209834.
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