000 | 03125nam a22004935i 4500 | ||
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001 | 978-3-540-48719-7 | ||
003 | DE-He213 | ||
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007 | cr nn 008mamaa | ||
008 | 121227s2001 gw | s |||| 0|eng d | ||
020 |
_a9783540487197 _9978-3-540-48719-7 |
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024 | 7 |
_a10.1007/b76887 _2doi |
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_aPBWL _2bicssc |
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_aPBWL _2thema |
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082 | 0 | 4 |
_a515.96 _223 |
245 | 1 | 0 |
_aLectures on Choquet’s Theorem _h[electronic resource] / _cedited by Robert R. Phelps. |
250 | _aSecond Edition. | ||
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2001. |
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300 |
_aX, 130 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1757 |
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505 | 0 | _aThe Krein-Milman theorem as an integral representation theorem -- Application of the Krein-Milman theorem to completely monotonic functions -- Choquet’s theorem: The metrizable case. -- The Choquet-Bishop-de Leeuw existence theorem -- Applications to Rainwater’s and Haydon’s theorems -- A new setting: The Choquet boundary -- Applications of the Choquet boundary to resolvents -- The Choquet boundary for uniform algebras -- The Choquet boundary and approximation theory -- Uniqueness of representing measures. -- Properties of the resultant map -- Application to invariant and ergodic measures -- A method for extending the representation theorems: Caps -- A different method for extending the representation theorems -- Orderings and dilations of measures -- Additional Topics. | |
520 | _aA well written, readable and easily accessible introduction to "Choquet theory", which treats the representation of elements of a compact convex set as integral averages over extreme points of the set. The interest in this material arises both from its appealing geometrical nature as well as its extraordinarily wide range of application to areas ranging from approximation theory to ergodic theory. Many of these applications are treated in this book. This second edition is an expanded and updated version of what has become a classic basic reference in the subject. | ||
650 | 0 | _aPotential theory (Mathematics). | |
650 | 0 | _aFunctional analysis. | |
650 | 1 | 4 |
_aPotential Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12163 |
650 | 2 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
700 | 1 |
_aPhelps, Robert R. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662173381 |
776 | 0 | 8 |
_iPrinted edition: _z9783540418344 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1757 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b76887 |
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