Nonabsolute Integration On Measure Spaces, EPUB eBook

Nonabsolute Integration On Measure Spaces EPUB

Part of the Series In Real Analysis series

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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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