About p -adic interpolation of continuous and differentiable functions

Stefaan Caenepeel

Groupe de travail d'analyse ultramétrique (1981-1982)

  • Volume: 9, Issue: 2, page 1-8

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Caenepeel, Stefaan. "About $p$-adic interpolation of continuous and differentiable functions." Groupe de travail d'analyse ultramétrique 9.2 (1981-1982): 1-8. <http://eudml.org/doc/91879>.

@article{Caenepeel1981-1982,
author = {Caenepeel, Stefaan},
journal = {Groupe de travail d'analyse ultramétrique},
keywords = {p-adic interpolation; p-adic differentiability; normal bases for space of continuous functions},
language = {eng},
number = {2},
pages = {1-8},
publisher = {Secrétariat mathématique},
title = {About $p$-adic interpolation of continuous and differentiable functions},
url = {http://eudml.org/doc/91879},
volume = {9},
year = {1981-1982},
}

TY - JOUR
AU - Caenepeel, Stefaan
TI - About $p$-adic interpolation of continuous and differentiable functions
JO - Groupe de travail d'analyse ultramétrique
PY - 1981-1982
PB - Secrétariat mathématique
VL - 9
IS - 2
SP - 1
EP - 8
LA - eng
KW - p-adic interpolation; p-adic differentiability; normal bases for space of continuous functions
UR - http://eudml.org/doc/91879
ER -

References

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  1. [1] Amice ( Y.). - Interpolation p-adique, Bull. Soc. math. France, t. 92, 1964, p. 119-180. Zbl0158.30201MR188199
  2. [2] Amice ( Y. ) . - Les nombres p-adiques. - Paris, Presses universitaires de France, 1975 (Collection SUP, "Le Mathématicien", 14). Zbl0313.12104MR447195
  3. [3] Barsky ( D.). - Fonctions k-lipschitziennes sur un anneau local et polynômes à valeurs entières, Bull. Soc. math. France, t. 101, 1973, p. 397-411. Zbl0291.12107MR371863
  4. [4] Bojanic ( R.). - A simple proof of Mahler's theorem on approximation of continuous functions of a p-adic variable by polynomials, J. of Number Theory, t. 6, 1974, p. 412-415. Zbl0298.12006MR357344
  5. [5] Mahler ( K.). - An interpolation series for continuous functions of a p-adic variable, J. für reine und angew. Math., t. 199, 1958, p. 23-34. Zbl0080.03504MR95821
  6. [6] Schikhof ( W.H. ) . - Non-archimedean calculus. - NijmegenKatholiche Universitet, Mathematisch Institut, 1978 (Lecture Notes Report, 7812). Zbl0463.26007MR522166
  7. [7] Serre ( J.-P.) . - Endomorphismes complètement continus des espaces de Banach p-adiques. - Paris, Presses universitaires de France, 1962 (Institut des hautes Etudes scientifiques. Publications mathématiques, 12, p. 69-85). Zbl0104.33601MR144186
  8. [8] Van Rooij ( A.C.M.). - Non archimedean functional analysis. - New York and Basel, M. Dekker, 1978 (Pure and applied Mathematics, Dekker, 51). Zbl0396.46061MR512894
  9. [9] Weisman ( C.). - On p-adic differentiability, J. of Number Theory, t. 9, 1977, p. 79-86. Zbl0349.12013MR429846

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