Nonabsolute Integration On Measure Spaces

Wee Leng Ng (Autor)

Buch | Hardcover

248 Seiten

2017
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-322-196-3 (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-Nikodým theorem.

Produkt-Details

• Erscheinungsdatum: 30.06.2017
• Reihe/Serie: Series In Real Analysis ; 14
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 981-322-196-8 / 9813221968
• ISBN-13: 978-981-322-196-3 / 9789813221963
• Zustand: Neuware