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Viser: Analysis on Polish Spaces and an Introduction to Optimal Transportation

Analysis on Polish Spaces and an Introduction to Optimal Transportation

Analysis on Polish Spaces and an Introduction to Optimal Transportation

D. J. H. Garling
(2017)
Sprog: Engelsk
Cambridge University Press
458,00 kr.
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Detaljer Om Varen

  • Paperback: 356 sider
  • Udgiver: Cambridge University Press (December 2017)
  • ISBN: 9781108431767
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.
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