Uniform Spaces and Measures

• Main Author: Pachl, Jan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Fields Institute Monographs, 30
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Functions of complex variables.; Functional Analysis.; Fourier Analysis.; Functions of a Complex Variable.

Uniform Spaces and Measures addresses the need for an accessible and comprehensive exposition of the theory of uniform measures -- a need that became more critical when uniform measures recently reemerged in new results in abstract harmonic analysis. Until now, results about uniform measures have be...

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.