Measure, Integration and Function Spaces

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Measure, Integration and Function...

Measure, Integration and Function Spaces

Charles W. Swartz

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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.

კატეგორია:

Mathematics

წელი:

1994

გამომცემლობა:

World Scientific Publishing Company

ენა:

english

გვერდები:

288

ISBN 10:

9810216106