000			03599nam a22004815i 4500
001			978-1-4614-5058-0
003			DE-He213
005			20140220082818.0
007			cr nn 008mamaa
008			130607s2013 xxu| s |||| 0|eng d
020			_a9781461450580 _9978-1-4614-5058-0
024	7		_a10.1007/978-1-4614-5058-0 _2doi
050		4	_aQA319-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.7 _223
100	1		_aPachl, Jan. _eauthor.
245	1	0	_aUniform Spaces and Measures _h[electronic resource] / _cby Jan Pachl.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aIX, 209 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aFields Institute Monographs, _x1069-5273 ; _v30
505	0		_aPrerequisites -- 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			_aUniform 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now, results about uniform measures have been scattered throughout many papers written by a number of authors, some unpublished, using a variety of definitions and notations.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	_aMathematics.
650		0	_aFourier analysis.
650		0	_aFunctional analysis.
650		0	_aFunctions of complex variables.
650	1	4	_aMathematics.
650	2	4	_aFunctional Analysis.
650	2	4	_aFourier Analysis.
650	2	4	_aFunctions of a Complex Variable.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461450573
830		0	_aFields Institute Monographs, _x1069-5273 ; _v30
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-5058-0
912			_aZDB-2-SMA
999			_c95300 _d95300