Heinz König

Measure and Integration

An Advanced Course in Basic Procedures and Applications

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-08277-1
• 1997
• Seitenzahl: 284
• Erscheinungstermin: 14. Oktober 2010
• Englisch
• Abmessung: 235mm x 155mm x 16mm
• Gewicht: 450g
• ISBN-13: 9783642082771
• ISBN-10: 3642082777
• Artikelnr.: 32058273

Inhaltsangabe

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.

Rezensionen

"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 reviews:

"The author took up several of the crucial topics of measure theory and developed them according to his 'new foundations of measure theory'. The author is offering twenty of his papers in this tome ... . This collection of papers along with MI are a must on the bookshelves of any measure theorist. ... On the whole the present volume will serve as a useful resource ... in MI." (K. P. S. Bhaskara Rao, Mathematical Reviews, April, 2013)

"The main body of this impressive volume is a collection of twenty-five papers whose sole author is Heinz König, an esteemed analyst. ... the volume can be recommended to all those interested in the foundations of measure theory and stochastic processes." (Zbigniew Lipecki, zbMATH, Vol. 1267, 2013)