03338nam a22005175i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137082001600172100002900188245020200217264006700419300004300486336002600529337002600555338003600581347002400617490004400641505029200685520122600977650001702203650002502220650003502245650002302280650002502303650001402328650001702342650003202359650002502391650001402416650001402430650002902444650002402473700002802497700002902525700003102554710003402585773002002619776003602639830004402675856010102719978-0-8176-8397-9DE-He21320260521092035.0cr nn 008mamaa121214s2013    xxu|    s    |||| 0|eng d  a9780817683979  a997808176839797 a10.1007/978-0-8176-8397-92doi04a515.7852231 aMitrea, Dorina.eauthor.10aGroupoid Metrization Theoryh[electronic resource] :bWith Applications to Analysis on Quasi-Metric Spaces and Functional Analysis /cby Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux. 1aBoston :bBirkhäuser Boston :bImprint: Birkhäuser,c2013.  aXII, 479 p. 1 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aApplied and Numerical Harmonic Analysis0 aIntroduction -- 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.  aThe 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. 0aMATHEMATICS. 0aGEOMETRY, ALGEBRAIC. 0aGLOBAL ANALYSIS (MATHEMATICS). 0aHARMONIC ANALYSIS. 0aFUNCTIONAL ANALYSIS. 0aTOPOLOGY.14aMATHEMATICS.24aABSTRACT HARMONIC ANALYSIS.24aFUNCTIONAL ANALYSIS.24aTOPOLOGY.24aANALYSIS.24aMEASURE AND INTEGRATION.24aALGEBRAIC GEOMETRY.1 aMitrea, Irina.eauthor.1 aMitrea, Marius.eauthor.1 aMonniaux, Sylvie.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817683962 0aApplied and Numerical Harmonic Analysis40uhttp://dx.doi.org/10.1007/978-0-8176-8397-9zVer el texto completo en las instalaciones del CICY