The construction of normal bases for the space of continuous functions on V q , with the aid of operators

Ann Verdoodt

Annales mathématiques Blaise Pascal (1995)

  • Volume: 2, Issue: 1, page 299-305
  • ISSN: 1259-1734

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Verdoodt, Ann. "The construction of normal bases for the space of continuous functions on $V_q$, with the aid of operators." Annales mathématiques Blaise Pascal 2.1 (1995): 299-305. <http://eudml.org/doc/79125>.

@article{Verdoodt1995,
author = {Verdoodt, Ann},
journal = {Annales mathématiques Blaise Pascal},
keywords = {non-archimedean valued field; Banach space of continuous functions},
language = {eng},
number = {1},
pages = {299-305},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {The construction of normal bases for the space of continuous functions on $V_q$, with the aid of operators},
url = {http://eudml.org/doc/79125},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Verdoodt, Ann
TI - The construction of normal bases for the space of continuous functions on $V_q$, with the aid of operators
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 1
SP - 299
EP - 305
LA - eng
KW - non-archimedean valued field; Banach space of continuous functions
UR - http://eudml.org/doc/79125
ER -

References

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  1. [1] F.H. Jackson , Generalization of the Differential Operative Symbol with an Extended Form of Boole's Equation , Messenger of Mathematics , vol. 38 , 1909 , p. 57-61. JFM39.0353.01
  2. [2] F.H. Jackson , q-form of Taylor's Theorem, Messenger of Mathematics , vol 38 , (1909) p. 62-64. JFM39.0353.02
  3. [3] L. Van Hamme , Jackson's Interpolation Formula in p-adic AnalysisProceedings of the Conference on p-adic Analysis , report nr . 7806 , Nijmegen, June 1978, p. 119-125. MR522128
  4. [4] L. Van Hamme, Continuous Operators which commute with Translations , on the Space o f Continuous Functions on Zp, in " p-adic Functional Analysis " , BayodMartinez-MauricaDe Grande-De Kimpe , p. 75-88 , Marcel Dekker , 1992. Zbl0773.47039MR1152570
  5. [5] 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

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