The Weierstrass-Stone approximation theorem for p-adic C n -functions
Annales mathématiques Blaise Pascal, Volume 1 (1994) no. 1, pp. 61-74.
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     title = {The {Weierstrass-Stone} approximation theorem for $p$-adic $C^n$-functions},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {61--74},
     publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal},
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}
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J. Araujo; Wim H. Schikhof. The Weierstrass-Stone approximation theorem for $p$-adic $C^n$-functions. Annales mathématiques Blaise Pascal, Volume 1 (1994) no. 1, pp. 61-74. https://ambp.centre-mersenne.org/item/AMBP_1994__1_1_61_0/

[1] A.C.M. Van Rooij Non-Archimedean Functional Analysis. Marcel Dekker, New York, 1978. | MR | Zbl

[2] W.H. Schikhof: Non-Archimedean Calculus. Report 7812, Mathematisch Instituut, Katholieke Universiteit, Nijmegen, The Netherlands, 1978. | MR | Zbl

[3] W.H. Schikhof: Ultrametric Calculus. Cambridge University Press, 1982. | MR | Zbl