1998 | OriginalPaper | Buchkapitel
Lebesgue Integrable Functions and Sets
verfasst von : Jürgen Jost
Erschienen in: Postmodern Analysis
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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The general Lebesgue integral is defined, and basic properties are derived. Here, a function is called Lebesgue integrable if approximation from above by lower semicontinuous functions leads to the same result as approximation from below by upper semicontinuous functions. Sets are called integrable when their characteristic functions are.