Integrable functions for the Bernoulli measures of rank 1
Annales Mathématiques Blaise Pascal, Tome 17 (2010) no. 2, pp. 341-356.

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 σ-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.

DOI : https://doi.org/10.5802/ambp.287
Classification : 46S10
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},
     mrnumber = {2778916},
     zbl = {1207.26031},
     language = {en},
     url = {www.numdam.org/item/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/item/AMBP_2010__17_2_341_0/

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