Groupoid Metrization Theory With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis /

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 numbe...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Mitrea, Dorina (Συγγραφέας), Mitrea, Irina (Συγγραφέας), Mitrea, Marius (Συγγραφέας), Monniaux, Sylvie (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013.
Σειρά:Applied and Numerical Harmonic Analysis
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Mitrea, Dorina.  |e author. 
245 1 0 |a Groupoid Metrization Theory  |h [electronic resource] :  |b With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis /  |c by Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux. 
264 1 |a Boston :  |b Birkhäuser Boston :  |b Imprint: Birkhäuser,  |c 2013. 
300 |a XII, 479 p. 1 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Applied and Numerical Harmonic Analysis 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Algebraic geometry. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Harmonic analysis. 
650 0 |a Functional analysis. 
650 0 |a Measure theory. 
650 0 |a Topology. 
650 1 4 |a Mathematics. 
650 2 4 |a Abstract Harmonic Analysis. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Topology. 
650 2 4 |a Analysis. 
650 2 4 |a Measure and Integration. 
650 2 4 |a Algebraic Geometry. 
700 1 |a Mitrea, Irina.  |e author. 
700 1 |a Mitrea, Marius.  |e author. 
700 1 |a Monniaux, Sylvie.  |e author. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9780817683962 
830 0 |a Applied and Numerical Harmonic Analysis 
856 4 0 |u http://dx.doi.org/10.1007/978-0-8176-8397-9  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)