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Groupoid Metrization Theory [[electronic resource] ] : With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux



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Autore: Mitrea Dorina Visualizza persona
Titolo: Groupoid Metrization Theory [[electronic resource] ] : With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis / / by Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux Visualizza cluster
Pubblicazione: Boston, MA : , : Birkhäuser Boston : , : Imprint : Birkhäuser, , 2013
Edizione: 1st ed. 2013.
Descrizione fisica: 1 online resource (485 p.)
Disciplina: 514/.325
Soggetto topico: Harmonic analysis
Functional analysis
Topology
Mathematical analysis
Analysis (Mathematics)
Measure theory
Algebraic geometry
Abstract Harmonic Analysis
Functional Analysis
Analysis
Measure and Integration
Algebraic Geometry
Persona (resp. second.): MitreaIrina
MitreaMarius
MonniauxSylvie
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and indexes.
Nota di contenuto: Introduction -- Semigroupoids and Groupoids -- Quantitative Metrization Theory -- Applications to Analysis on Quasi-Metric Spaces -- Non-Locally Convex Functional Analysis -- Functional Analysis on Quasi-Pseudonormed Groups -- References -- Symbol Index -- Subject Index -- Author Index.
Sommario/riassunto: 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.
Titolo autorizzato: Groupoid Metrization Theory  Visualizza cluster
ISBN: 0-8176-8397-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910437861603321
Lo trovi qui: Univ. Federico II
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Serie: Applied and Numerical Harmonic Analysis, . 2296-5009