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.

Produktdetails

• Autoren: Wee Leng Ng, Wee Leng Ng
• Verlag: World Scientific Publishing
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 30.11.2017
• EAN: 9789813221963
• ISBN: 978-981-3221-96-3
• Serien: Series in Real Analysis; Series In Real Analysis; Real Analysis
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Analysis; MATHEMATICS / Functional Analysis, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Research, Real analysis, real variables, Functional analysis and transforms