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Measure and integration theory

This book gives a straightforward introduction to the field as it is nowadays required in many branches of analysis and especially in probability theory. The first three chapters (Measure Theory, Integration Theory, Product Measures) basically follow the clear and approved exposition given in the au...

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Detalles Bibliográficos
Autores principales: Burckel, Robert B, Bauer, Heinz
Lenguaje:eng
Publicado: De Gruyter 2001
Materias:
Acceso en línea:http://cds.cern.ch/record/1615716
Descripción
Sumario:This book gives a straightforward introduction to the field as it is nowadays required in many branches of analysis and especially in probability theory. The first three chapters (Measure Theory, Integration Theory, Product Measures) basically follow the clear and approved exposition given in the author's earlier book on ""Probability Theory and Measure Theory"". Special emphasis is laid on a complete discussion of the transformation of measures and integration with respect to the product measure, convergence theorems, parameter depending integrals, as well as the Radon-Nikodym theorem. The fi