LEADER 05115nam 22009011 450 001 9910462699003321 005 20210514022946.0 024 7 $a10.1515/9783110253863 035 $a(CKB)2670000000432732 035 $a(EBL)1130376 035 $a(OCoLC)858762163 035 $a(SSID)ssj0001002013 035 $a(PQKBManifestationID)11530049 035 $a(PQKBTitleCode)TC0001002013 035 $a(PQKBWorkID)10968097 035 $a(PQKB)10615148 035 $a(MiAaPQ)EBC1130376 035 $a(DE-B1597)123472 035 $a(OCoLC)1002272944 035 $a(OCoLC)1004876485 035 $a(OCoLC)1011470114 035 $a(OCoLC)1013941048 035 $a(OCoLC)1029834842 035 $a(OCoLC)1032676800 035 $a(OCoLC)1037982027 035 $a(OCoLC)1042007159 035 $a(OCoLC)1046609723 035 $a(OCoLC)1047031255 035 $a(OCoLC)1049674733 035 $a(OCoLC)1054868330 035 $a(OCoLC)979582633 035 $a(OCoLC)987943166 035 $a(OCoLC)992489692 035 $a(OCoLC)999362857 035 $a(DE-B1597)9783110253863 035 $a(Au-PeEL)EBL1130376 035 $a(CaPaEBR)ebr10786107 035 $a(CaONFJC)MIL807721 035 $a(EXLCZ)992670000000432732 100 $a20130506h20132013 uy 0 101 0 $aeng 135 $aurun#---uu||u 181 $ctxt 182 $cc 183 $acr 200 10$aInvariant distances and metrics in complex analysis /$fMarek Jarnicki, Peter Pflug 205 $aSecond extended edition. 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d[2013] 210 4$d©2013 215 $a1 online resource (880 p.) 225 0 $aDe Gruyter Expositions in Mathematics ;$v9 225 0$aDe Gruyter expositions in mathematics,$x0938-6572 ;$v9 300 $aDescription based upon print version of record. 311 $a3-11-025386-0 311 $a3-11-025043-8 320 $aIncludes bibliographical references (pages 814-843) and index. 327 $tFront matter --$tPreface to the second edition --$tPreface to the first edition --$tContents --$tChapter 1. Hyperbolic geometry of the unit disc --$tChapter 2. The Carathéodory pseudodistance and the Carathéodory-Reiffen pseudometric --$tChapter 3. The Kobayashi pseudodistance and the Kobayashi-Royden pseudometric --$tChapter 4. Contractible systems --$tChapter 5. Properties of standard contractible systems --$tChapter 6. Elementary Reinhardt domains --$tChapter 7. Symmetrized polydisc --$tChapter 8. Non-standard contractible systems --$tChapter 9. Contractible functions and metrics for the annulus --$tChapter 10. Elementary n-circled domains III --$tChapter 11. Complex geodesics. Lempert's theorem --$tChapter 12. The Bergman metric --$tChapter 13. Hyperbolicity --$tChapter 14. Completeness --$tChapter 15. Bergman completeness --$tChapter 16. Complex geodesics - effective examples --$tChapter 17. Analytic discs method --$tChapter 18. Product property --$tChapter 19. Comparison on pseudoconvex domains --$tChapter 20. Boundary behavior of invariant functions and metrics on general domains --$tAppendix A. Miscellanea --$tAppendix B. Addendum --$tAppendix C. List of problems --$tBibliography --$tList of symbols --$tIndex 330 $aAs in the field of "Invariant Distances and Metrics in Complex Analysis" there was and is a continuous progress this is now the second extended edition of the corresponding monograph. This comprehensive book is about the study of invariant pseudodistances (non-negative functions on pairs of points) and pseudometrics (non-negative functions on the tangent bundle) in several complex variables. It is an overview over a highly active research area at the borderline between complex analysis, functional analysis and differential geometry. New chapters are covering the Wu, Bergman and several other metrics. The book considers only domains in Cn and assumes a basic knowledge of several complex variables. It is a valuable reference work for the expert but is also accessible to readers who are knowledgeable about several complex variables. Each chapter starts with a brief summary of its contents and continues with a short introduction. It ends with an "Exercises" and a "List of problems" section that gathers all the problems from the chapter. The authors have been highly successful in giving a rigorous but readable account of the main lines of development in this area. 410 3$aDe Gruyter Expositions in Mathematics 606 $aFunctions of complex variables 606 $aInvariants 606 $aMetric spaces 606 $aPseudodistances 608 $aElectronic books. 615 0$aFunctions of complex variables. 615 0$aInvariants. 615 0$aMetric spaces. 615 0$aPseudodistances. 676 $a514/.325 700 $aJarnicki$b Marek$0726136 701 $aPflug$b Peter$f1943-$058183 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910462699003321 996 $aInvariant distances and metrics in complex analysis$92442777 997 $aUNINA