Abstract

The main goal of this Handbook is
to survey measure theory with its many different branches and its
relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications which
support the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the various
areas they contain many special topics and challenging
problems valuable for experts and rich sources of inspiration.
Mathematicians from other areas as well as physicists, computer
scientists, engineers and econometrists will find useful results and
powerful methods for their research. The reader may find in the
Handbook many close relations to other mathematical areas: real
analysis, probability theory, statistics, ergodic theory,
functional analysis, potential theory, topology, set theory,
geometry, differential equations, optimization, variational
analysis, decision making and others. The Handbook is a rich
source of relevant references to articles, books and lecture
notes and it contains for the reader's convenience an extensive
subject and author index.
Die beiden Bände enthalten zahlreiche Literaturhinweise und bilden insgesamt eine nahezu vollstädige Übersicht über den aktuellen Stand der Masstheorie. Ein Autorenindex mit über 1500 Namen sowie die Druckqualität und schöne Ausstattung machen die beiden Bände zu einem Nachschlagwerk mit hohem Standard, das jedem mit Masstehorie befassten bestens empfohlen werden kann.
R. Viertl (Wien), in: International Mathematical News, No. 196, Aug. 2004