Nonabsolute Integration on Measure Spaces (Hardcover)

Nonabsolute Integration on Measure Spaces By Wee Leng Ng Cover Image
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Description


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-Nikod m theorem.


Product Details
ISBN: 9789813221963
ISBN-10: 9813221968
Publisher: World Scientific Publishing Company
Publication Date: December 1st, 2017
Pages: 248
Language: English
Series: Series in Real Analysis
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