LEADER 03309nam 2200601 a 450 001 9910437861603321 005 20200520144314.0 010 $a0-8176-8397-6 024 7 $a10.1007/978-0-8176-8397-9 035 $a(CKB)2670000000315375 035 $a(EBL)1106431 035 $a(OCoLC)823722456 035 $a(SSID)ssj0000870714 035 $a(PQKBManifestationID)11536882 035 $a(PQKBTitleCode)TC0000870714 035 $a(PQKBWorkID)10820716 035 $a(PQKB)10233373 035 $a(DE-He213)978-0-8176-8397-9 035 $a(MiAaPQ)EBC1106431 035 $a(PPN)168288745 035 $a(EXLCZ)992670000000315375 100 $a20121018d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGroupoid metrization theory $ewith applications to analysis on quasi-metric spaces and functional analysis /$fDorina Mitrea ... [et al.] 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (485 p.) 225 0$aApplied and numerical harmonic analysis 300 $aDescription based upon print version of record. 311 $a0-8176-8396-8 320 $aIncludes bibliographical references and indexes. 327 $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. 330 $aThe topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided. Unique features of Metrization Theory for Groupoids: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis include: * treatment of metrization from a wide, interdisciplinary perspective, with accompanying applications ranging across diverse fields; * coverage of topics applicable to a variety of scientific areas within pure mathematics; * useful techniques and extensive reference material; * includes sharp results in the field of metrization. Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties. 410 0$aApplied and Numerical Harmonic Analysis,$x2296-5009 606 $aGroupoids 606 $aHarmonic analysis 606 $aFunctional analysis 615 0$aGroupoids. 615 0$aHarmonic analysis. 615 0$aFunctional analysis. 676 $a514/.325 700 $aMitrea$b Dorina$0521700 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437861603321 996 $aGroupoid Metrization Theory$92501408 997 $aUNINA