Annales Mathématiques
Blaise Pascal
no. 1
A method for constructing orthonormal bases for non-archimedean Banach spaces of continuous functions
Annales mathématiques Blaise Pascal, Tome 7 (2000) no. 1, pp. 87-99. 
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     title = {A method for constructing orthonormal bases for non-archimedean {Banach} spaces of continuous functions},
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     volume = {7},
     number = {1},
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Ann Verdoodt. A method for constructing orthonormal bases for non-archimedean Banach spaces of continuous functions. Annales mathématiques Blaise Pascal, Tome 7 (2000) no. 1, pp. 87-99. https://ambp.centre-mersenne.org/item/AMBP_2000__7_1_87_0/

[1] Y. Amice, "Interpolation p-adique", Bull. Soc. math. France, 92, 1964, p. 117-180. | Numdam | MR | Zbl

[2] S. Caenepeel, "About p-adic Interpolation of Continuous and Differentiable Functions". Groupe d' étude d'analyse ultramétrique (Y. Amice, G. Christol, P. Robba), 9e année, 1981/82, no. 25, 8 p. | Numdam | MR | Zbl

[3] S. Caenepeel, "p-adic Interpolation of Continuous and Analytic functions", Seminar on p-adic Analysis, 1981-82, Vrije Universiteit Brussel.

[4] L. Gruson and M. Van Der Put, "Banach Spaces", Table Ronde d' Analyse non Archimédienne (1972 Paris), Bulletin de la Société Mathématique de France, Mémoire 39-40, 1974, p. 55 - 100. | Numdam | MR | Zbl

[5] 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

[6] J.P. Serre, Endomorphismes Complètement Continus des Espaces Banach p-adiques, Presses Universitaires de France, Paris, 1962, Institut Hautes Etudes Scientifiques, Publications Mathématiques, 12, p. 69-85. | Numdam | 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, "Orthonormal Bases for Spaces of Continuous and Continuously Differentiable Functions defined on a Subset of ZZp, Revista Matemática de la Universidad Complutense de Madrid, Vol. 9, no. 2, 1996, p.295-307. | MR | Zbl

[9] A. Verdoodt, "Orthonormal Bases for Non-Archimedean Banach Spaces of Continuous Functions", in "p-Adic Functional Analysis", editorsKakol J. [OK]De Grande-De Kimpe N. Pérez-Garcia C. , 1999, p. 323-331, chapter 21. | MR | Zbl