Integrable functions for the Bernoulli measures of rank 1
Maïga, Hamadoun
Annales mathématiques Blaise Pascal, Tome 17 (2010), p. 341-356 / Harvested from Numdam
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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.

Publié le : 2010-01-01
DOI : https://doi.org/10.5802/ambp.287
Classification:  46S10 
@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},
     volume = {17},
     year = {2010},
     pages = {341-356},
     doi = {10.5802/ambp.287},
     zbl = {1207.26031},
     mrnumber = {2778916},
     language = {en},
     url = {http://dml.mathdoc.fr/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) pp. 341-356. doi : 10.5802/ambp.287. http://gdmltest.u-ga.fr/item/AMBP_2010__17_2_341_0/

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