Nonabsolute Integration On Measure Spaces Hardback
Part of the Series In Real Analysis series
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-Nikodym theorem.
- Format: Hardback
- Pages: 248 pages
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication Date: 18/12/2017
- Category: Real analysis, real variables
- ISBN: 9789813221963