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Field name	Details
Title	Measure and Integration ([EBook] /) / Dietmar A. Salamon
Author	Salamon, Dietmar A.
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2016
Physical Details	1 online resource (363 pages)
Series	EMS Textbooks in Mathematics (ETB)
ISBN	9783037196595
Summary Note	The book is intended as a companion to a one semester introductory lecture course on measure and integration. After an introduction to abstract measure theory it proceeds to the construction of the Lebesgue measure and of Borel measures on locally compact Hausdorff spaces, $L p$ spaces and their dual spaces and elementary Hilbert space theory. Special features include the formulation of the Riesz Representation Theorem in terms of both inner and outer regularity, the proofs of the Marcinkiewicz Interpolation Theorem and the Calderon–Zygmund inequality as applications of Fubini’s theorem and Lebesgue differentiation, the treatment of the generalized Radon–Nikodym theorem due to Fremlin, and the existence proof for Haar measures. Three appendices deal with Urysohn’s Lemma, product topologies, and the inverse function theorem. The book assumes familiarity with first year analysis and linear algebra. It is suitable for second year undergraduate students of mathematics or anyone desiring an introduction to the concepts of measure and integration.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/159
See Also	https://www.ems-ph.org/img/books/salamon_mini.jpg
Links to Related Works	Subject References: Measure and Integration . Real analysis . Authors: author . Salamon, Dietmar A. . Series: EMS Textbooks in Mathematics (ETB) .

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Measure and Integration

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