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Groupoid Metrization Theory

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

  • Dorina Mitrea
  • Irina Mitrea
  • Marius Mitrea
  • Sylvie Monniaux

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
    Pages 1-10
  3. Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
    Pages 11-59
  4. Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
    Pages 61-151
  5. Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
    Pages 153-293
  6. Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
    Pages 295-358
  7. Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
    Pages 359-459
  8. Back Matter
    Pages 461-479

About this book

Introduction

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.

Keywords

Hardy spaces Holder function metrization theorem quasi-metric spaces topological groups topological vector spaces

Authors and affiliations

  • Dorina Mitrea
    • 1
  • Irina Mitrea
    • 2
  • Marius Mitrea
    • 3
  • Sylvie Monniaux
    • 4
  1. 1., Department of MathematicsUniversity of MissouriColumbiaUSA
  2. 2.Department of MathematicsTemple UniversityPhiladelphiaUSA
  3. 3., Department of MathematicsUniversity of MissouriColumbiaUSA
  4. 4., Faculte des Sciences de Saint-JeromeUniversite Aix-Marseille IIIMarseilleFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-8397-9
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Birkhäuser, Boston
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-8396-2
  • Online ISBN 978-0-8176-8397-9
  • Series Print ISSN 2296-5009
  • Series Online ISSN 2296-5017
  • Buy this book on publisher's site
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