The p -adic Z -transform

Lucien van Hamme

Annales mathématiques Blaise Pascal (1995)

  • Volume: 2, Issue: 1, page 131-146
  • ISSN: 1259-1734

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van Hamme, Lucien. "The $p$-adic $Z$-transform." Annales mathématiques Blaise Pascal 2.1 (1995): 131-146. <http://eudml.org/doc/79109>.

@article{vanHamme1995,
author = {van Hamme, Lucien},
journal = {Annales mathématiques Blaise Pascal},
keywords = {-adic -transform; -adic distribution; representations of continued functions; van der Put expansions; Sheffer polynomials},
language = {eng},
number = {1},
pages = {131-146},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {The $p$-adic $Z$-transform},
url = {http://eudml.org/doc/79109},
volume = {2},
year = {1995},
}

TY - JOUR
AU - van Hamme, Lucien
TI - The $p$-adic $Z$-transform
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 1
SP - 131
EP - 146
LA - eng
KW - -adic -transform; -adic distribution; representations of continued functions; van der Put expansions; Sheffer polynomials
UR - http://eudml.org/doc/79109
ER -

References

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  1. [1] J.W.S. Cassels : Local Fields. Cambridge University Press, 1986. Zbl0595.12006MR861410
  2. [2] W. Schikhof : Ultrametric Calculus. Cambridge University Press, 1984. Zbl0553.26006MR791759
  3. [3] N. Koblitz : p-Adic Analysis : A Short Course on Recent Work. Cambridge University Press, 1980. Zbl0439.12011MR591682
  4. [4] Y. Amice - J. Fresnel : Fonctions zêta p-adiques des corps de nombres abéliens réels. Acta Arithmetica, vol 20 (1972) p. 355-385. Zbl0217.04303MR337898
  5. [5] L. Van Hamme : Three generalizations of Mahler's expansion for continuous functions on Zp. in "p-adic analysis" - Lecture Notes on Mathematics vol 1454 (1990) p. 356-361, Springer Verlag. Zbl0716.39003MR1094864
  6. [6] L. Van Hamme : Continuous operators which commute with translations on the space of continuous functions on Zp. in "p-adic Functional Analysis" J. Bayod, N. De Grande-De Kimpe, J. Martinez - Maurica p. 75-88, Marcel Dekker, New York (1992). Zbl0773.47039MR1152570

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