| 000 | 03327cam a22005658i 4500 | ||
|---|---|---|---|
| 001 | on1089758043 | ||
| 003 | OCoLC | ||
| 005 | 20241121072738.0 | ||
| 006 | m d | ||
| 007 | cr ||||||||||| | ||
| 008 | 190312s2019 enk o 001 0 eng d | ||
| 040 |
_aUkCbUP _beng _erda _cHTM _dOCLCO _dLGG _dUAB _dN$T |
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| 020 | _a9781139020244 (ebook) | ||
| 020 | _a1139020242 (ebook) | ||
| 020 |
_a9781108615112 _q(electronic bk.) |
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| 020 |
_a1108615112 _q(electronic bk.) |
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| 020 | _z9780521830478 (hardback) | ||
| 035 |
_a2046179 _b(N$T) |
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| 035 | _a(OCoLC)1089758043 | ||
| 050 | 0 | 0 |
_aQA300 _b.B1685 2019 |
| 072 | 7 |
_aMAT _x005000 _2bisacsh |
|
| 072 | 7 |
_aMAT _x034000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515/.22 _223 |
| 049 | _aMAIN | ||
| 100 | 1 |
_aBaernstein, Albert, _cII, _d1941-2014, _eauthor. _911185 |
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| 245 | 1 | 0 |
_aSymmetrization in analysis / _cAlbert Baernstein II ; with David Drasin, Richard Laugesen. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2019. |
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| 300 |
_a1 online resource (xviii, 473 pages) : _bdigital, PDF file(s). |
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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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| 490 | 1 |
_aNew mathematical monographs ; _v36 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 25 Feb 2019). | ||
| 520 | _aSymmetrization is a rich area of mathematical analysis whose history reaches back to antiquity. This book presents many aspects of the theory, including symmetric decreasing rearrangement and circular and Steiner symmetrization in Euclidean spaces, spheres and hyperbolic spaces. Many energies, frequencies, capacities, eigenvalues, perimeters and function norms are shown to either decrease or increase under symmetrization. The book begins by focusing on Euclidean space, building up from two-point polarization with respect to hyperplanes. Background material in geometric measure theory and analysis is carefully developed, yielding self-contained proofs of all the major theorems. This leads to the analysis of functions defined on spheres and hyperbolic spaces, and then to convolutions, multiple integrals and hypercontractivity of the Poisson semigroup. The author's 'star function' method, which preserves subharmonicity, is developed with applications to semilinear PDEs. The book concludes with a thorough self-contained account of the star function's role in complex analysis, covering value distribution theory, conformal mapping and the hyperbolic metric. | ||
| 590 | _aAdded to collection customer.56279.3 - Master record variable field(s) change: 072 | ||
| 650 | 0 |
_aMathematical analysis. _91617 |
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| 650 | 0 |
_aSymmetric functions. _911186 |
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| 650 | 0 |
_aControl theory. _911187 |
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| 650 | 0 |
_aIntegral equations. _911188 |
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| 650 | 7 |
_aMATHEMATICS / Calculus _2bisacsh _911189 |
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| 650 | 7 |
_aMATHEMATICS / Mathematical Analysis _2bisacsh _911190 |
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| 655 | 4 |
_aElectronic books. _93907 |
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| 700 | 1 |
_aDrasin, D. _q(David), _d1940- _eauthor. _911191 |
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| 700 | 1 |
_aLaugesen, Richard, _d1967- _eauthor. _911192 |
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| 776 | 0 | 8 |
_iPrint version: _z9780521830478 |
| 830 | 0 |
_aNew mathematical monographs ; _v36. _911193 |
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| 856 | 4 | 0 |
_3EBSCOhost _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2046179 |
| 938 |
_aEBSCOhost _bEBSC _n2046179 |
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| 994 |
_a92 _bN$T |
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| 999 |
_c7040 _d7040 |
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