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Synopsis
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.
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Measure, Integration And Function Spaces
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Measure, Integration and Function Spaces
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World Scientific, River Edge NJ, 1994
ISBN 10: 9810216106
ISBN 13: 9789810216108
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Measure, Integration and Function Spaces
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ISBN 10: 9810216106
ISBN 13: 9789810216108
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Measure, Integration And Function Spaces
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World Scientific Publishing Co. Pte. Ltd., 1994
ISBN 10: 9810216106
ISBN 13: 9789810216108
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Measure, Integration and Function Spaces
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World Scientific Pub Co Inc, 1994
ISBN 10: 9810216106
ISBN 13: 9789810216108
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Measure, Integration And Function Spaces
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Measure, Integration And Function Spaces Charles Swartz
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World Scientific Publishing Co. Pte. Ltd., 1994
ISBN 10: 9810216106
ISBN 13: 9789810216108
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