no. 1
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},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {275--282},
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     volume = {2},
     number = {1},
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     zbl = {0830.46070},
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     url = {http://archive.numdam.org/item/AMBP_1995__2_1_275_0/}
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De Smedt, Stany. Orthonormal bases for $p$-adic continuous and continuously differentiable functions. Annales mathématiques Blaise Pascal, Tome 2 (1995) no. 1, pp. 275-282. http://archive.numdam.org/item/AMBP_1995__2_1_275_0/

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[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

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