Integrable functions for the Bernoulli measures of rank
- [1] Département de Mathématiques et d’Informatique Faculté des Sciences et Techniques Université de Bamako Bamako Mali
Annales mathématiques Blaise Pascal (2010)
- Volume: 17, Issue: 2, page 341-356
- ISSN: 1259-1734
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topMaïga, Hamadoun. "Integrable functions for the Bernoulli measures of rank $1$." Annales mathématiques Blaise Pascal 17.2 (2010): 341-356. <http://eudml.org/doc/116356>.
@article{Maïga2010,
abstract = {In this paper, following the $p$-adic integration theory worked out by A. F. Monna and T. A. Springer [4, 5] and generalized by A. C. M. van Rooij and W. H. Schikhof [6, 7] for the spaces which are not $\sigma $-compacts, we study the class of integrable $p$-adic functions with respect to Bernoulli measures of rank $1$. Among these measures, we characterize those which are invertible and we give their inverse in the form of series.},
affiliation = {Département de Mathématiques et d’Informatique Faculté des Sciences et Techniques Université de Bamako Bamako Mali},
author = {Maïga, Hamadoun},
journal = {Annales mathématiques Blaise Pascal},
keywords = {integrable functions; Bernoulli measures of rank $1$; invertible measures; Bernoulli measures of rank 1},
language = {eng},
month = {7},
number = {2},
pages = {341-356},
publisher = {Annales mathématiques Blaise Pascal},
title = {Integrable functions for the Bernoulli measures of rank $1$},
url = {http://eudml.org/doc/116356},
volume = {17},
year = {2010},
}
TY - JOUR
AU - Maïga, Hamadoun
TI - Integrable functions for the Bernoulli measures of rank $1$
JO - Annales mathématiques Blaise Pascal
DA - 2010/7//
PB - Annales mathématiques Blaise Pascal
VL - 17
IS - 2
SP - 341
EP - 356
AB - In this paper, following the $p$-adic integration theory worked out by A. F. Monna and T. A. Springer [4, 5] and generalized by A. C. M. van Rooij and W. H. Schikhof [6, 7] for the spaces which are not $\sigma $-compacts, we study the class of integrable $p$-adic functions with respect to Bernoulli measures of rank $1$. Among these measures, we characterize those which are invertible and we give their inverse in the form of series.
LA - eng
KW - integrable functions; Bernoulli measures of rank $1$; invertible measures; Bernoulli measures of rank 1
UR - http://eudml.org/doc/116356
ER -
References
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- A. F. Monna, T. A. Springer, Intégration non-archimédienne. II, Nederl. Akad. Wetensch. Proc. Ser. A 66=Indag. Math. 25 (1963), 643-653 Zbl0147.11803MR156937
- Arnoud C. M. van Rooij, Non-Archimedean Functional Analysis, (1978), M. Dekker, New York and Basel Zbl0396.46061MR512894
- Wilhelmus H. Schikhof, Ultrametric calculus - An introduction to p-adic analysis, (1984), Cambridge University Press, Cambridge Zbl0553.26006MR791759
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