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Nonabsolute Integration On Measure Spaces

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Nonabsolute Integration On Measure Spaces Synopsis

This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock-Kurzweil type integrals defined on abstract spaces. It contains both classical and original results that are accessible to a large class of readers.It is widely acknowledged that the biggest difficulty in defining a Henstock-Kurzweil integral beyond Euclidean spaces is the definition of a set of measurable sets which will play the role of 'intervals' in the abstract setting. In this book the author shows a creative and innovative way of defining 'intervals' in measure spaces, and prove many interesting and important results including the well-known Radon-Nikodým theorem.

About This Edition

ISBN: 9789813221963
Publication date: 18th December 2017
Author: Wee Leng (Ntu, S'pore) Ng
Publisher: World Scientific Publishing Co Pte Ltd
Format: Hardback
Pagination: 248 pages
Series: Series In Real Analysis
Genres: Real analysis, real variables