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Cosa (chi) è Lebesgue measure - definizione
Lebesgue measure
EXTENSION OF THE CONCEPT OF AREA FOR AN ARBITRARY DIMENSION
Lebesgue measurable; Lebesgue-measurable; Lebesgue measurable set; Regularity theorem for Lebesgue measure; Lebesgue null; Zero Lebesgue measure; Lesbegue measure; Regularity theorem for lebesgue measure; Lebesgue-measurable set
In measure theory, a branch of mathematics, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of n-dimensional Euclidean space. For n = 1, 2, or 3, it coincides with the standard measure of length, area, or volume.
Infinite-dimensional Lebesgue measure
In mathematics, there is a theorem stating that there is no analogue of Lebesgue measure on an infinite-dimensional Banach space. Other kinds of measures are therefore used on infinite-dimensional spaces: often, the abstract Wiener space construction is used.
Lebesgue integration
METHOD OF INTEGRATION
Lebesgue-integrable; Lebesgue integral; Integral (measure theory); Lebesgue integrable; Lebesgue-integrable function; Lebesque integral
In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the -axis. The Lebesgue integral, named after French mathematician Henri Lebesgue, extends the integral to a larger class of functions.
