Abstract
In Chapter 2 we constructed Lebesgue measure on the real line. The basis for that was the notion of the length of an interval. Consider now the plane ℝ2 in place of ℝ. Here by interval we understand a rectangle of any sort:
where I1, I2 are any intervals. The ‘length’ of a rectangle is its area
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© 2004 Springer-Verlag London Limited
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Capiński, M., Kopp, P.E. (2004). Product measures. In: Measure, Integral and Probability. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-0645-6_6
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DOI: https://doi.org/10.1007/978-1-4471-0645-6_6
Publisher Name: Springer, London
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