Non-Archimedean Umbral Calculus

Ann Verdoodt

Annales mathématiques Blaise Pascal (1998)

  • Volume: 5, Issue: 1, page 55-73
  • ISSN: 1259-1734

How to cite


Verdoodt, Ann. "Non-Archimedean Umbral Calculus." Annales mathématiques Blaise Pascal 5.1 (1998): 55-73. <>.

author = {Verdoodt, Ann},
journal = {Annales mathématiques Blaise Pascal},
keywords = {basis of the Banach space; non-Archimedean absolute value},
language = {eng},
number = {1},
pages = {55-73},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Non-Archimedean Umbral Calculus},
url = {},
volume = {5},
year = {1998},

AU - Verdoodt, Ann
TI - Non-Archimedean Umbral Calculus
JO - Annales mathématiques Blaise Pascal
PY - 1998
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 5
IS - 1
SP - 55
EP - 73
LA - eng
KW - basis of the Banach space; non-Archimedean absolute value
UR -
ER -


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  2. [2] 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
  3. [3] S. Roman, "The Umbral Calculus", Academic Press, New York, 1984. Zbl0536.33001MR741185
  4. [4] G.C. Rota, "Finite Operator Calculus", Academic Press, New York, 1975. Zbl0328.05007MR379213
  5. [5] W.H. Schikhof, "Ultrametric Calculus : An Introduction to p-adic Analysis", Cambridge University Press, 1984. Zbl0553.26006MR791759
  6. [6] L. Van Hamme, "Continuous Operators which commute with Translations, on the Space of Continuous Functions on Zp", in "p-adic Functional Analysis", BayodMartinez-Maurica[OK]De Grande - De Kimpe, p. 75-88, Marcel Dekker, 1992. Zbl0773.47039MR1152570
  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, "The Use of Operators for the Construction of Normal Bases for the Space of Continuous Functions on Vq", Bulletin of the Belgian Mathematical Society - Simon Stevin, Vol. 1, 1994, p. 685-699. Zbl0814.46070MR1315364
  9. [9] A. Verdoodt, "Bases and Operators for the Space of Continuous Functions defined on a Subset of Zp", thesis. Zbl0840.46056

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