Measure Theory

• Main Author: Bogachev, Vladimir I. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Measure theory.; Probabilities.; Analysis.; Measure and Integration.; Functional Analysis.; Probability Theory and Stochastic Processes.

Measure theory is a classical area of mathematics that continues intensive development and has fruitful connections with most other fields of mathematics as well as important applications in physics. This book gives a systematic presentation of modern measure theory as it has developed over the past...

Table of Contents:

• Constructions and extensions of measures
• The Lebesgue integral
• Operations on measures and functions
• The spaces Lp and spaces of measures
• Connections between the integral and derivative
• Borel, Baire and Souslin sets
• Measures on topological spaces
• Weak convergence of measure
• Transformations of measures and isomorphisms
• Conditional measures and conditional.