The p-adic Z-transform
Annales mathématiques Blaise Pascal, Tome 2 (1995) no. 1, pp. 131-146.
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     title = {The $p$-adic $Z$-transform},
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Lucien van Hamme. The $p$-adic $Z$-transform. Annales mathématiques Blaise Pascal, Tome 2 (1995) no. 1, pp. 131-146. https://ambp.centre-mersenne.org/item/AMBP_1995__2_1_131_0/

[1] J.W.S. Cassels : Local Fields. Cambridge University Press, 1986. | MR | Zbl

[2] W. Schikhof : Ultrametric Calculus. Cambridge University Press, 1984. | MR | Zbl

[3] N. Koblitz : p-Adic Analysis : A Short Course on Recent Work. Cambridge University Press, 1980. | MR | Zbl

[4] Y. Amice - J. Fresnel : Fonctions zêta p-adiques des corps de nombres abéliens réels. Acta Arithmetica, vol 20 (1972) p. 355-385. | MR | Zbl

[5] L. Van Hamme : Three generalizations of Mahler's expansion for continuous functions on Zp. in "p-adic analysis" - Lecture Notes on Mathematics vol 1454 (1990) p. 356-361, Springer Verlag. | 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" J. Bayod, N. De Grande-De Kimpe, J. Martinez - Maurica p. 75-88, Marcel Dekker, New York (1992). | MR | Zbl