000 | 02856nam a22004695i 4500 | ||
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001 | 978-3-540-74587-7 | ||
003 | DE-He213 | ||
005 | 20190213151237.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2008 gw | s |||| 0|eng d | ||
020 |
_a9783540745877 _9978-3-540-74587-7 |
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024 | 7 |
_a10.1007/978-3-540-74587-7 _2doi |
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050 | 4 | _aQA403.5-404.5 | |
072 | 7 |
_aPBKF _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBKF _2thema |
|
082 | 0 | 4 |
_a515.2433 _223 |
100 | 1 |
_aWilson, Michael. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aWeighted Littlewood-Paley Theory and Exponential-Square Integrability _h[electronic resource] / _cby Michael Wilson. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008. |
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300 |
_aXIII, 227 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 ; _v1924 |
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505 | 0 | _aSome Assumptions -- An Elementary Introduction -- Exponential Square -- Many Dimensions; Smoothing -- The Calderón Reproducing Formula I -- The Calderón Reproducing Formula II -- The Calderón Reproducing Formula III -- Schrödinger Operators -- Some Singular Integrals -- Orlicz Spaces -- Goodbye to Good-? -- A Fourier Multiplier Theorem -- Vector-Valued Inequalities -- Random Pointwise Errors. | |
520 | _aLittlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn’t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications. | ||
650 | 0 | _aFourier analysis. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 1 | 4 |
_aFourier Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12058 |
650 | 2 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540843115 |
776 | 0 | 8 |
_iPrinted edition: _z9783540745822 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1924 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-74587-7 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c10009 _d10009 |