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.
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 |