NONABSOLUTE INTEGRATION ON MEASURE SPACES

By: NG WEE LENG

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Hardcover | 23 October 2017

At a Glance

Hardcover
248 Pages

Dimensions(cm)
22.86 x 15.24 x 1.6

Hardcover

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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.

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