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Measure and Integration

Salamon, Dietmar A.,

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Measure and Integration

Record Type:	Electronic resources : Monograph/item
Title/Author:	Measure and Integration/ Dietmar A. Salamon
Author:	Salamon, Dietmar A.,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2016,
Description:	1 online resource (363 pages)
Subject:	Real analysis -
Online resource:	https://doi.org/10.4171/159
Online resource:	https://www.ems-ph.org/img/books/salamon_mini.jpg
ISBN:	9783037196595

Measure and Integration
Salamon, Dietmar A.,

Measure and Integration[electronic resource] /Dietmar A. Salamon - Zuerich, Switzerland :European Mathematical Society Publishing House,2016 - 1 online resource (363 pages) - EMS Textbooks in Mathematics (ETB).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783037196595

Standard No.: 10.4171/159doiSubjects--Topical Terms:

3481119
Real analysis

Measure and Integration
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