Stability under integration of sums of products of real globally subanalytic functions and their logarithms - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: We study Lebesgue integration of sums of products of globally subanalyticfunctions and their logarithms, called constructible functions. Our firsttheorem states that the class of constructible functions is stable underintegration. The second theorem treats integrability conditions in Fubini-typesettings, and the third result gives decay rates at infinity for constructiblefunctions. Further, we give preparation results for constructible functionsrelated to integrability conditions.



Author: Raf Cluckers, Daniel J. Miller

Source: https://arxiv.org/







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