Overview
- Provides treatment of metrization from a wide, interdisciplinary perspective, with accompanying applications ranging across diverse fields?
- Replete with extensive reference material and useful techniques
- Includes cutting-edge results in the field of metrization
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
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Table of contents (6 chapters)
Keywords
About this book
The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided.
Unique features of Metrization Theory for Groupoids: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis include:
* treatment of metrization from a wide, interdisciplinary perspective, with accompanying applications ranging across diverse fields;
* coverage of topics applicable to a variety of scientific areas within pure mathematics;
* useful techniques and extensive reference material;
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
* coverage of topics applicable to a variety of scientific areas within pure mathematics;
* useful techniques and extensive reference material;
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
* useful techniques and extensive reference material;
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
* includes sharp results in the field of metrization.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.
Reviews
From the reviews:
“The monograph is part of the Applied and Numerical Harmonic Analysis (ANHA) book series which caters to the applied science and engineering communities with emphasis on harmonic analysis. The book mainly deals with issues in analysis that permit construction of a metric which is compatible––quantitatively, topologically or algebraically––with a given setting.” (Ryo Ohashi, Mathematical Reviews, July, 2013)
“This research monograph, based mainly on the original contributions of the authors, proposes a very general approach to some results in topology, harmonic analysis and functional analysis, all revolving around the idea of metrizability. It will be of interest to researchers in these areas, as well as to those interested in the abstract approach proposed by the authors.” (Stefan Cobzaş, zbMATH, Vol. 1269, 2013)
Authors and Affiliations
Bibliographic Information
Book Title: Groupoid Metrization Theory
Book Subtitle: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
Authors: Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-0-8176-8397-9
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-0-8176-8396-2Published: 14 December 2012
eBook ISBN: 978-0-8176-8397-9Published: 15 December 2012
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XII, 479
Number of Illustrations: 1 b/w illustrations
Topics: Abstract Harmonic Analysis, Functional Analysis, Topology, Analysis, Measure and Integration, Algebraic Geometry