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Uniform Spaces and Measures

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Table of Contents

Prerequisites.- 1. Uniformities and Topologies.- 2. Induced Uniform Structures.- 3. Uniform Structures on Semigroups.- 4. Some Notable Classes of Uniform Spaces.- 5. Measures on Complete Metric Spaces.- 6. Uniform Measures.- 7. Uniform Measures as Measures.- 8. Instances of Uniform Measures.- 9. Direct Product and Convolution.- 10. Free Uniform Measures.- 11. Approximation of Probability Distributions.- 12. Measurable Functionals.- Hints to Excercises.- References.- Notation Index.- Author Index.- Subject Index.


From the reviews: "The material of this book is arranged into one preliminary section for auxiliary prerequisites plus three parts. ... Each of these parts is divided into chapters, every one of which ends with several complementary and historical notes that clearly help one to gain a better understanding of the material being covered. ... this is a book which every researcher interested in measure theory and its applications must consider for library acquisition and personal use." (Jesus Ferrer, Mathematical Reviews, August, 2013)

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