Orthonormal bases for p-adic continuous and continuously differentiable functions
Annales mathématiques Blaise Pascal, Tome 2 (1995) no. 1, pp. 275-282.
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     title = {Orthonormal bases for $p$-adic continuous and continuously differentiable functions},
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     url = {https://ambp.centre-mersenne.org/item/AMBP_1995__2_1_275_0/}
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Stany De Smedt. Orthonormal bases for $p$-adic continuous and continuously differentiable functions. Annales mathématiques Blaise Pascal, Tome 2 (1995) no. 1, pp. 275-282. https://ambp.centre-mersenne.org/item/AMBP_1995__2_1_275_0/

[1] Y. Amice, Les nombres p-adiques, Presses Universitaires de France, 1975. | MR | Zbl

[2] S. De Smedt, Some new bases for p-adic continuous functions, Indagationes Mathematicae N.S. 4(1), 1993, p.91-98. | MR | Zbl

[3] S. De Smedt, The van der Put base for Cn-functions, Bulletin of the Belgian Mathematical Society 1(1), 1994, p.85-98. | MR | Zbl

[4] S. De Smedt, p-adic continuously differentiable functions of several variables, Collectanea Mathematica, To appear. | MR | Zbl

[5] W.H. Schikhof, Non-Archimedean calculus (Lecture notes), Report 7812, Katholieke Universiteit Nijmegen, 1978. | MR | Zbl

[6] W.H. Schikhof, Ultrametric Calculus : an introduction to p-adic analysis, Cambridge University Press, 1984. | MR | Zbl

[7] M. Van Der Put, Algèbres de functions continues p-adiques, Thèse Université d'Utrecht, 1967.