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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Uniform Spaces and Measures (Hardcover, 2013 ed.)
Loot Price: R2,280
Discovery Miles 22 800
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Uniform Spaces and Measures (Hardcover, 2013 ed.)
Series: Fields Institute Monographs, 30
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This book addresses the need for an accessible comprehensive
exposition of the theory of uniform measures; the need that became
more critical when recently uniform measures reemerged in new
results in abstract harmonic analysis. Until now, results about
uniform measures have been scattered through many papers written by
a number of authors, some unpublished, written using a variety of
definitions and notations. Uniform measures are certain functionals
on the space of bounded uniformly continuous functions on a uniform
space. They are a common generalization of several classes of
measures and measure-like functionals studied in abstract and
topological measure theory, probability theory, and abstract
harmonic analysis. They offer a natural framework for results about
topologies on spaces of measures and about the continuity of
convolution of measures on topological groups and semitopological
semigroups. The book is a reference for the theory of uniform
measures. It includes a self-contained development of the theory
with complete proofs, starting with the necessary parts of the
theory of uniform spaces. It presents diverse results from many
sources organized in a logical whole, and includes several new
results. The book is also suitable for graduate or advanced
undergraduate courses on selected topics in topology and functional
analysis. The text contains a number of exercises with solution
hints, and four problems with suggestions for further research. "
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