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Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis (Applied and Numerical Harmonic Analysis) - Hardcover

Buch 42 von 88: Applied and Numerical Harmonic Analysis

Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius; Monniaux, Sylvie

 
9780817683962: Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis (Applied and Numerical Harmonic Analysis)

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Dorina Mitrea, Irina Mitrea, Marius Mitrea, and Joel Shapiro are internationally recognized mathematicians with expertise spanning across the fields of Harmonic Analysis, Functional Analysis, and Partial Differential Equations. Dorina Mitrea, Irina Mitrea, and Marius Mitrea are Fellows of the American Mathematical Society and have collaborated extensively over the years. Their joint contributions include over a dozen of original research monographs, notably the comprehensive five-volume series Geometric Harmonic Analysis (Springer), The Hodge-Laplacian, now in its second edition (De Gruyter), Singular Integral Operators, Quantitative Flatness, and Boundary Problems (Birkhauser), Groupoid Metrization Theory (Birkhauser). Their work has significantly impacted harmonic analysis of geometric flavor. Joel Shapiro is a distinguished scholar renowned for his pioneering research in the topological and geometric aspects of functional analysis, particularly composition operators.

Von der hinteren Coverseite

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.

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