A method for constructing orthonormal bases for non-archimedean Banach spaces of continuous functions

Ann Verdoodt

Annales mathématiques Blaise Pascal (2000)

  • Volume: 7, Issue: 1, page 87-99
  • ISSN: 1259-1734

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Verdoodt, Ann. "A method for constructing orthonormal bases for non-archimedean Banach spaces of continuous functions." Annales mathématiques Blaise Pascal 7.1 (2000): 87-99. <http://eudml.org/doc/79219>.

@article{Verdoodt2000,
author = {Verdoodt, Ann},
journal = {Annales mathématiques Blaise Pascal},
keywords = {local field; orthonormal base; well distributed sequence},
language = {eng},
number = {1},
pages = {87-99},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {A method for constructing orthonormal bases for non-archimedean Banach spaces of continuous functions},
url = {http://eudml.org/doc/79219},
volume = {7},
year = {2000},
}

TY - JOUR
AU - Verdoodt, Ann
TI - A method for constructing orthonormal bases for non-archimedean Banach spaces of continuous functions
JO - Annales mathématiques Blaise Pascal
PY - 2000
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 7
IS - 1
SP - 87
EP - 99
LA - eng
KW - local field; orthonormal base; well distributed sequence
UR - http://eudml.org/doc/79219
ER -

References

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  1. [1] Y. Amice, "Interpolation p-adique", Bull. Soc. math. France, 92, 1964, p. 117-180. Zbl0158.30201MR188199
  2. [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. Zbl0515.12014MR720568
  3. [3] S. Caenepeel, "p-adic Interpolation of Continuous and Analytic functions", Seminar on p-adic Analysis, 1981-82, Vrije UniversiteitBrussel. 
  4. [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, Mémoire39-40, 1974, p. 55 - 100. Zbl0312.46029MR365173
  5. [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. Zbl0080.03504MR95821
  6. [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. Zbl0104.33601MR144186
  7. [7] A. Verdoodt, "Normal Bases for Non-Archimedean Spaces of Continuous Functions", Publicacions Matemàtiques, Vol. 37, 1993, p. 403-427. Zbl0804.46088MR1249241
  8. [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. Zbl0882.46033MR1430780
  9. [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. Zbl0940.46050MR1703503

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