Analysis on Polish Spaces and an Introduction to Optimal Transportation

Garling, D. J. H.

ISBN 10: 1108431763 / ISBN 13: 9781108431767

Published by Cambridge University Press, 2017

About this Item

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Bibliographic Details

Title: Analysis on Polish Spaces and an ...

Publisher: Cambridge University Press

Publication Date: 2017

Binding: Soft cover

Condition: New

About this title

Synopsis:

A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a complete metric. This analysis is not only simpler than in the general case, but, more crucially, contains many important special results. This book provides a detailed account of analysis and measure theory on Polish spaces, including results about spaces of probability measures. Containing more than 200 elementary exercises, it will be a useful resource for advanced mathematical students and also for researchers in mathematical analysis. The book also includes a straightforward and gentle introduction to the theory of optimal transportation, illustrating just how many of the results established earlier in the book play an essential role in the theory.

Book Description:

This detailed account of analysis on Polish spaces contains results that apply to probability theory and a gentle introduction to optimal transportation. Containing more than 200 elementary exercises, it is a useful resource for advanced mathematical students and also for researchers in mathematical analysis.