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.
1133678495
NONABSOLUTE INTEGRATION ON MEASURE SPACES
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.
70.0
In Stock
5
1
NONABSOLUTE INTEGRATION ON MEASURE SPACES
248
NONABSOLUTE INTEGRATION ON MEASURE SPACES
248Related collections and offers
70.0
In Stock
Product Details
| ISBN-13: | 9789813221987 |
|---|---|
| Publisher: | World Scientific Publishing Company, Incorporated |
| Publication date: | 10/20/2017 |
| Series: | SERIES IN REAL ANALYSIS , #14 |
| Sold by: | Barnes & Noble |
| Format: | eBook |
| Pages: | 248 |
| File size: | 10 MB |
From the B&N Reads Blog