Orthonormal bases for p -adic continuous and continuously differentiable functions

Stany De Smedt

Annales mathématiques Blaise Pascal (1995)

  • Volume: 2, Issue: 1, page 275-282
  • ISSN: 1259-1734

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De Smedt, Stany. "Orthonormal bases for $p$-adic continuous and continuously differentiable functions." Annales mathématiques Blaise Pascal 2.1 (1995): 275-282. <http://eudml.org/doc/79123>.

@article{DeSmedt1995,
author = {De Smedt, Stany},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Mahler and van der Put base of the Banach space of continuous functions},
language = {eng},
number = {1},
pages = {275-282},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Orthonormal bases for $p$-adic continuous and continuously differentiable functions},
url = {http://eudml.org/doc/79123},
volume = {2},
year = {1995},
}

TY - JOUR
AU - De Smedt, Stany
TI - Orthonormal bases for $p$-adic continuous and continuously differentiable functions
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 1
SP - 275
EP - 282
LA - eng
KW - Mahler and van der Put base of the Banach space of continuous functions
UR - http://eudml.org/doc/79123
ER -

References

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  1. [1] Y. Amice, Les nombres p-adiques, Presses Universitaires de France, 1975. Zbl0313.12104MR447195
  2. [2] S. De Smedt, Some new bases for p-adic continuous functions, Indagationes Mathematicae N.S.4(1), 1993, p.91-98. Zbl0791.46061MR1213326
  3. [3] S. De Smedt, The van der Put base for Cn-functions, Bulletin of the Belgian Mathematical Society1(1), 1994, p.85-98. Zbl0827.46067MR1314923
  4. [4] S. De Smedt, p-adic continuously differentiable functions of several variables, Collectanea Mathematica, To appear. Zbl0810.26010MR1316932
  5. [5] W.H. Schikhof, Non-Archimedean calculus (Lecture notes), Report 7812, Katholieke Universiteit Nijmegen, 1978. Zbl0463.26007MR522166
  6. [6] W.H. Schikhof, Ultrametric Calculus : an introduction to p-adic analysis, Cambridge University Press, 1984. Zbl0553.26006MR791759
  7. [7] M. Van Der Put, Algèbres de functions continues p-adiques, Thèse Université d'Utrecht, 1967. 

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