Measure and Integration: An Advanced Course in Basic Procedures and Applications

by Heinz Kïnig

Overview

This book aims at restructuring some fundamentals in measure and integration theory. It centers around the ubiquitous task to produce appropriate contents and measures from more primitive data like elementary contents and elementary integrals. It develops the new approach started around 1970 by Topsoe and others into a systematic theory. The theory is much more powerful than the traditional means and has striking implications all over measure theory and beyond.

Product Details

ISBN-13:	9783540618584
Publisher:	Springer Berlin Heidelberg
Publication date:	08/23/2000
Edition description:	1997
Pages:	260
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Set Systems and Set Functions.- The Extension Theories Based on Regularity.- Applications of the Extension Theories.- The Integral.- The Daniell-Stone and Riesz Representation Theorems.- Transplantation of Contents and Measures.- Products of Contents and Measures.- Applications of the New Contents and Measures.

Editorial Reviews

"Man könnte meinen, dass zum Thema Maß und Integral in zahlreichen Lehrbüchern bereits alles wesentliche festgehalten ist. Der Verfasser beweist jedoch mit diesem Werk, dass das Gebiet lebt und durchaus noch grundlegend neue Einsichten möglich sind. Ich möchte daher das Buch allen an Maß- und Integrationstheorie interessierten Mathematikern nachdrücklich zur Lektüre empfehlen."
S. Graf in DMV Jahresbericht Bd. 103, Heft 1, 2001

From the Publisher