Nonabsolute Integration On Measure Spaces
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A01=Wee Leng Ng
Author_Wee Leng Ng
Category=PBKB
Category=PBKF
Controlled Convergence Theorem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Generalized Intervals
Harnack Extension
Henstock-Kurzweil Type Integral
HenstockAcAEURA"Kurzweil Type Integral
Henstock–Kurzweil Type Integral
Locally Compact Hausdorff Space
Measure Spaces
Nonabsolute Integration
Radon-Nikodym Theorem
RadonAcAEURA"Nikodym Theorem
Radon–Nikodym Theorem
Product details
- ISBN 9789813221963
- Publication Date: 18 Dec 2017
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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-Nikodým theorem.
