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

Ng Wee Leng

ISBN 10: 9813221968 / ISBN 13: 9789813221963

Published by World Scientific Publishing Co Pte Ltd, 2017

About this Item

pp. 160.

Seller Inventory # 26401152573

Bibliographic Details

• Title: Nonabsolute Integration On Measure Spaces: 14 (Series In Real Analysis)
• Publisher: World Scientific Publishing Co Pte Ltd
• Publication Date: 2017
• Language: English
• ISBN 10: 9813221968
• ISBN 13: 9789813221963
• Binding: Hardcover
• Condition: New

About this title

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.

Readership: Graduate students and researchers interested in analysis.