02745nam 2200637Ia 450 991045334370332120200520144314.01-280-90428-30-19-152355-0(CKB)1000000000556027(EBL)422910(OCoLC)476260379(SSID)ssj0000182743(PQKBManifestationID)11178520(PQKBTitleCode)TC0000182743(PQKBWorkID)10171758(PQKB)10067473(MiAaPQ)EBC422910(PPN)150924925(Au-PeEL)EBL422910(CaPaEBR)ebr10271512(CaONFJC)MIL90428(EXLCZ)99100000000055602720060111e20062003 uy 0engur|n|---|||||txtccrIntroduction to modern analysis[electronic resource] /Shmuel KantorovitzOxford Oxford University Press20061 online resource (447 p.)Oxford mathematicsOxford graduate texts in mathematics ;no. 8Originally published: 2003.0-19-852656-3 0-19-920315-6 Includes bibliographical references and index.Contents; 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; IndexThis 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, ProbabilityOxford graduate texts in mathematics ;8.Oxford mathematics.Mathematical analysisProbabilitiesElectronic books.Mathematical analysis.Probabilities.515Kantorovitz Shmuel1935-54813MiAaPQMiAaPQMiAaPQBOOK9910453343703321Introduction to modern analysis1093787UNINA