Measures and Integration

Mariano Giaquinta () and Giuseppe Modica ()
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Mariano Giaquinta: Scuola Normale Superiore
Giuseppe Modica: Università di Firenze, Dipartimento di Sistemi e Informatica

Chapter 5 in Mathematical Analysis, 2012, pp 283-338 from Springer

Abstract: Abstract In this chapter we deal with the construction and the properties of Lebesgue measure and Lebesgue integral and, more generally, with the abstract measure and integration theory, providing proofs and details that we avoided in Chapter 2 of [GM4].

Keywords: Pairwise Disjoint; Outer Measure; Nondecreasing Sequence; Nonnegative Measurable Function; Lebesgue Outer Measure (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8310-8_5

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DOI: 10.1007/978-0-8176-8310-8_5

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