000 | 03214nam a22005415i 4500 | ||
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001 | 978-3-540-36074-2 | ||
003 | DE-He213 | ||
005 | 20190213151130.0 | ||
007 | cr nn 008mamaa | ||
008 | 100806s2002 gw | s |||| 0|eng d | ||
020 |
_a9783540360742 _9978-3-540-36074-2 |
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024 | 7 |
_a10.1007/b84244 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aPajot, Hervé. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aAnalytic Capacity, Rectifiability, Menger Curvature and the Cauchy Integral _h[electronic resource] / _cby Hervé Pajot. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2002. |
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300 |
_aVIII, 119 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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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1799 |
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505 | 0 | _aPreface -- Notations and conventions -- Some geometric measures theory -- Jones' traveling salesman theorem -- Menger curvature -- The Cauchy singular integral operator on Ahlfors-regular sets -- Analytic capacity and the Painlevé Problem -- The Denjoy and Vitushkin conjectures -- The capacity $gamma (+)$ and the Painlevé Problem -- Bibliography -- Index. | |
520 | _aBased on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets). In particular, these notes contain a description of Peter Jones' geometric traveling salesman theorem, the proof of the equivalence between uniform rectifiability and boundedness of the Cauchy operator on Ahlfors-regular sets, the complete proofs of the Denjoy conjecture and the Vitushkin conjecture (for the latter, only the Ahlfors-regular case) and a discussion of X. Tolsa's solution of the Painlevé problem. | ||
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aGeometry. | |
650 | 0 | _aMathematics. | |
650 | 0 | _aFunctions of complex variables. | |
650 | 0 | _aFourier analysis. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aGeometry. _0http://scigraph.springernature.com/things/product-market-codes/M21006 |
650 | 2 | 4 |
_aMeasure and Integration. _0http://scigraph.springernature.com/things/product-market-codes/M12120 |
650 | 2 | 4 |
_aFunctions of a Complex Variable. _0http://scigraph.springernature.com/things/product-market-codes/M12074 |
650 | 2 | 4 |
_aFourier Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12058 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540000013 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1799 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/b84244 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9628 _d9628 |