The Resource Uniform spaces and measures, Jan Pachl

Uniform spaces and measures, Jan Pachl

Label
Uniform spaces and measures
Title
Uniform spaces and measures
Statement of responsibility
Jan Pachl
Creator
Contributor
Subject
Language
eng
Summary
  • "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now, results about uniform measures have been scattered throughout many papers written by a number of authors, some unpublished, using a variety of definitions and notations
  • Uniform measures are 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 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
  • This book can serve as 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 also includes several new results, and presents diverse results from many sources organized in a logical whole. The content is also suitable for graduate or advanced undergraduate courses on selected topics in topology and functional analysis, and contains a number of exercises with hints to solutions as well as several open problems with suggestions for further research."--Pub. desc
Member of
Cataloging source
IND
http://library.link/vocab/creatorName
Pachl, Jan
Index
index present
LC call number
QC20.7.M43
LC item number
P33 2013
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Fields Institute for Research in Mathematical Sciences
Series statement
Fields Institute monographs,
Series volume
30
http://library.link/vocab/subjectName
  • Measure theory
  • Measure theory
Label
Uniform spaces and measures, Jan Pachl
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 193-200) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
24 cm.
Extent
ix, 209 p.
Isbn
9781461450580
Isbn Type
(ebk.)
Lccn
2012947382
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)823242924
Label
Uniform spaces and measures, Jan Pachl
Publication
Bibliography note
Includes bibliographical references (p. 193-200) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
24 cm.
Extent
ix, 209 p.
Isbn
9781461450580
Isbn Type
(ebk.)
Lccn
2012947382
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)823242924

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