Applied and Numerical Harmonic Analysis

Groupoid Metrization Theory

With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis

Authors: Mitrea, D., Mitrea, I., Mitrea, M., Monniaux, S.

  • 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
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eBook $109.00
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  • ISBN 978-0-8176-8397-9
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  • Immediate eBook download after purchase
Hardcover $149.00
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  • ISBN 978-0-8176-8396-2
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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)


Table of contents (6 chapters)

  • Introduction

    Mitrea, Dorina (et al.)

    Pages 1-10

  • Semigroupoids and Groupoids

    Mitrea, Dorina (et al.)

    Pages 11-59

  • Quantitative Metrization Theory

    Mitrea, Dorina (et al.)

    Pages 61-151

  • Applications to Analysis on Quasimetric Spaces

    Mitrea, Dorina (et al.)

    Pages 153-293

  • Nonlocally Convex Functional Analysis

    Mitrea, Dorina (et al.)

    Pages 295-358

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-8397-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-8176-8396-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Groupoid Metrization Theory
Book Subtitle
With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
Authors
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-8397-9
DOI
10.1007/978-0-8176-8397-9
Hardcover ISBN
978-0-8176-8396-2
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XII, 479
Number of Illustrations and Tables
1 b/w illustrations
Topics