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Measure, Integration and Function Spaces
Charles Swartz
出版World Scientific, 1994
主題Mathematics / General
ISBN98102161069789810216108
URLhttp://books.google.com.hk/books?id=1FGiALTcxakC&hl=&source=gbs_api
EBookSAMPLE
註釋This text contains a basic introduction to the abstract measure theory and the Lebesgue integral. Most of the standard topics in the measure and integration theory are discussed. In addition, topics on the Hewitt-Yosida decomposition, the Nikodym and Vitali-Hahn-Saks theorems and material on finitely additive set functions not contained in standard texts are explored. There is an introductory section on functional analysis, including the three basic principles, which is used to discuss many of the classic Banach spaces of functions and their duals. There is also a chapter on Hilbert space and the Fourier transform.