NONABSOLUTE INTEGRATION ON MEASURE SPACES (eBook)

Wee Leng Ng (Autor)

eBook Download: EPUB

2017
248 Seiten
World Scientific Publishing Company (Verlag)
978-981-322-198-7 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 20.10.2017
• Reihe/Serie: Series in Real Analysis
• Reihe/Serie: Series In Real Analysis
• Reihe/Serie: SERIES IN REAL ANALYSIS
• Reihe/Serie: SERIES IN REAL ANALYSIS
• Verlagsort: SG
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 981-322-198-4 / 9813221984
• ISBN-13: 978-981-322-198-7 / 9789813221987