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20140310151449.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781461450580 |
|
978-1-4614-5058-0 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA319-329.9 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.7 |
Edition number |
23 |
264 #1 - |
-- |
New York, NY : |
-- |
Springer New York : |
-- |
Imprint: Springer, |
-- |
2013. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Pachl, Jan. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Uniform Spaces and Measures |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Jan Pachl. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
IX, 209 p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Fields Institute Monographs, |
International Standard Serial Number |
1069-5273 ; |
Volume number/sequential designation |
30 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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now, results about uniform measures have been scattered throughout many papers written by a number of authors, some unpublished, using a variety of definitions and notations.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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Fourier analysis. |
|
Topical term or geographic name as entry element |
Functional analysis. |
|
Topical term or geographic name as entry element |
Functions of complex variables. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Functional Analysis. |
|
Topical term or geographic name as entry element |
Fourier Analysis. |
|
Topical term or geographic name as entry element |
Functions of a Complex Variable. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781461450573 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4614-5058-0 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |