Stability under integration of sums of products of real globally subanalytic functions and their logarithms
Cluckers, Raf ; Miller, Daniel J.
Duke Math. J., Tome 156 (2011) no. 1, p. 311-348 / Harvested from Project Euclid
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We study Lebesgue integration of sums of products of globally subanalytic functions and their logarithms, called constructible functions. Our first theorem states that the class of constructible functions is stable under integration. The second theorem treats integrability conditions in Fubini-type settings, and the third result gives decay rates at infinity for constructible functions. Further, we give preparation results for constructible functions related to integrability conditions.
Publié le : 2011-02-01
Classification:  26B15,  14P15,  32B20,  03C64,  14P10,  33B10 
@article{1296662022,
     author = {Cluckers, Raf and Miller, Daniel J.},
     title = {Stability under integration of sums of products of real globally subanalytic functions and their logarithms},
     journal = {Duke Math. J.},
     volume = {156},
     number = {1},
     year = {2011},
     pages = { 311-348},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1296662022}
}

Cluckers, Raf; Miller, Daniel J. Stability under integration of sums of products of real globally subanalytic functions and their logarithms. Duke Math. J., Tome 156 (2011) no. 1, pp.  311-348. http://gdmltest.u-ga.fr/item/1296662022/