In this paper, following the -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 -compacts, we study the class of integrable -adic functions with respect to Bernoulli measures of rank . Among these measures, we characterize those which are invertible and we give their inverse in the form of series.
Mots-clés : integrable functions, Bernoulli measures of rank $1$, invertible measures
@article{AMBP_2010__17_2_341_0, author = {Ma{\"\i}ga, Hamadoun}, title = {Integrable functions for the {Bernoulli} measures of rank $1$}, journal = {Annales math\'ematiques Blaise Pascal}, pages = {341--356}, publisher = {Annales math\'ematiques Blaise Pascal}, volume = {17}, number = {2}, year = {2010}, doi = {10.5802/ambp.287}, zbl = {1207.26031}, mrnumber = {2778916}, language = {en}, url = {http://www.numdam.org/articles/10.5802/ambp.287/} }
TY - JOUR AU - Maïga, Hamadoun TI - Integrable functions for the Bernoulli measures of rank $1$ JO - Annales mathématiques Blaise Pascal PY - 2010 SP - 341 EP - 356 VL - 17 IS - 2 PB - Annales mathématiques Blaise Pascal UR - http://www.numdam.org/articles/10.5802/ambp.287/ DO - 10.5802/ambp.287 LA - en ID - AMBP_2010__17_2_341_0 ER -
%0 Journal Article %A Maïga, Hamadoun %T Integrable functions for the Bernoulli measures of rank $1$ %J Annales mathématiques Blaise Pascal %D 2010 %P 341-356 %V 17 %N 2 %I Annales mathématiques Blaise Pascal %U http://www.numdam.org/articles/10.5802/ambp.287/ %R 10.5802/ambp.287 %G en %F AMBP_2010__17_2_341_0
Maïga, Hamadoun. Integrable functions for the Bernoulli measures of rank $1$. Annales mathématiques Blaise Pascal, Tome 17 (2010) no. 2, pp. 341-356. doi : 10.5802/ambp.287. http://www.numdam.org/articles/10.5802/ambp.287/
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