Nonabsolute Integration On Measure Spaces: 14 (Series In Real Analysis) - Hardcover

Wee Leng Ng

 
9789813221963: Nonabsolute Integration On Measure Spaces: 14 (Series In Real Analysis)
Hardcover
ISBN 10: 9813221968 ISBN 13: 9789813221963
Publisher: World Scientific Publishing Company, 2017

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.

"synopsis" may belong to another edition of this title.

Publisher
World Scientific Publishing Company
Publication date
2017
Language
English
ISBN 10 
9813221968
ISBN 13 
9789813221963
Binding
Hardcover
Number of pages
248