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arXiv · 2304.06598

The Lebesgue Integral Via The Tonelli Method

Luciano Pandolfi
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Abstract

Leonida Tonelli devised an interesting and efficient method to introduce the Lebesgue integral. The details of this method can only be found in the original Tonelli paper and in an old italian course and solely for the case of the functions of one variable. We believe that this method is worth knowing and here we present a complete account for functions of every number of variables.

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Luciano Pandolfi. 2023-04-13. The Lebesgue Integral Via The Tonelli Method. https://arxiv.org/abs/2304.06598

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