no. 1
Non-archimedean umbral calculus
Annales mathématiques Blaise Pascal, Tome 5 (1998) no. 1, pp. 55-73. 
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     title = {Non-archimedean umbral calculus},
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     volume = {5},
     number = {1},
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     mrnumber = {1630106},
     zbl = {0907.46066},
     language = {en},
     url = {http://archive.numdam.org/item/AMBP_1998__5_1_55_0/}
}
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Verdoodt, Ann. Non-archimedean umbral calculus. Annales mathématiques Blaise Pascal, Tome 5 (1998) no. 1, pp. 55-73. http://archive.numdam.org/item/AMBP_1998__5_1_55_0/

[1] B. Diarra, "Base de Mahler et autres", Séminaire d'Analyse, 1994-95 (Aubière), exposé no. 16, 18pp., Sémin. Anal. Univ. Blaise Pascal (Clermont II), 10, Université Blaise Pascal (Clermont II), Clermont-Ferrand, 1997. | MR | Zbl

[2] K. Mahler, "An Interpolation Series for Continuous Functions of a p-adic Variable", Journal für reine und angewandte Mathematik, vol. 199, 1958, p. 23 - 34. | MR | Zbl

[3] S. Roman, "The Umbral Calculus", Academic Press, New York, 1984. | MR | Zbl

[4] G.C. Rota, "Finite Operator Calculus", Academic Press, New York, 1975. | MR

[5] W.H. Schikhof, "Ultrametric Calculus : An Introduction to p-adic Analysis", Cambridge University Press, 1984. | MR | Zbl

[6] L. Van Hamme, "Continuous Operators which commute with Translations, on the Space of Continuous Functions on Zp", in "p-adic Functional Analysis", BayodMartinez-Maurica[OK]De Grande - De Kimpe, p. 75-88, Marcel Dekker, 1992. | MR | Zbl

[7] A. Verdoodt, "Normal Bases for Non-Archimedean Spaces of Continuous Functions", Publicacions Matemàtiques, vol. 37, 1993, p. 403-427. | MR | Zbl

[8] A. Verdoodt, "The Use of Operators for the Construction of Normal Bases for the Space of Continuous Functions on Vq", Bulletin of the Belgian Mathematical Society - Simon Stevin, Vol. 1, 1994, p. 685-699. | MR | Zbl

[9] A. Verdoodt, "Bases and Operators for the Space of Continuous Functions defined on a Subset of Zp", thesis.