LEADER 02745nam 2200637Ia 450 001 9910453343703321 005 20200520144314.0 010 $a1-280-90428-3 010 $a0-19-152355-0 035 $a(CKB)1000000000556027 035 $a(EBL)422910 035 $a(OCoLC)476260379 035 $a(SSID)ssj0000182743 035 $a(PQKBManifestationID)11178520 035 $a(PQKBTitleCode)TC0000182743 035 $a(PQKBWorkID)10171758 035 $a(PQKB)10067473 035 $a(MiAaPQ)EBC422910 035 $a(PPN)150924925 035 $a(Au-PeEL)EBL422910 035 $a(CaPaEBR)ebr10271512 035 $a(CaONFJC)MIL90428 035 $a(EXLCZ)991000000000556027 100 $a20060111e20062003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to modern analysis$b[electronic resource] /$fShmuel Kantorovitz 210 $aOxford $cOxford University Press$d2006 215 $a1 online resource (447 p.) 225 1 $aOxford mathematics 225 1 $aOxford graduate texts in mathematics ;$vno. 8 300 $aOriginally published: 2003. 311 $a0-19-852656-3 311 $a0-19-920315-6 320 $aIncludes bibliographical references and index. 327 $aContents; 1 Measures; 2 Construction of measures; 3 Measure and topology; 4 Continuous linear functionals; 5 Duality; 6 Bounded operators; 7 Banach algebras; 8 Hilbert spaces; 9 Integral representation; 10 Unbounded operators; Application I: Probability; Application II: Distributions; Bibliography; Index 330 $aThis new-in-paperback edition provides a comprehensive course in Modern Analysis. The first 10 chapters discuss theoretical methods in Measure Theory and Functional Analysis, and contain over 120 end of chapter exercises. The final two chapters apply theory to applications in Probability Theory and Partial Differential Equations. - ;This new-in-paperback text is based on lectures given by the author at the advanced undergraduate and graduate levels in Measure Theory, Functional Analysis, Banach Algebras, Spectral Theory (of bounded and unbounded operators), Semigroups of Operators, Probability 410 0$aOxford graduate texts in mathematics ;$v8. 410 0$aOxford mathematics. 606 $aMathematical analysis 606 $aProbabilities 608 $aElectronic books. 615 0$aMathematical analysis. 615 0$aProbabilities. 676 $a515 700 $aKantorovitz$b Shmuel$f1935-$054813 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910453343703321 996 $aIntroduction to modern analysis$91093787 997 $aUNINA