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100   $a20100301d2008      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aWeighted Littlewood-Paley Theory and Exponential-Square Integrability$b[electronic resource] /$fby Michael Wilson
205   $a1st ed. 2008.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008.
215   $a1 online resource (XIII, 227 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1924
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-74582-3 
320   $aIncludes bibliographical references (pages [219]-221) and index.
327   $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.
330   $aLittlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn?t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1924
606   $aFourier analysis
606   $aPartial differential equations
606   $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aFourier analysis.
615  0$aPartial differential equations.
615 14$aFourier Analysis.
615 24$aPartial Differential Equations.
676   $a515.2433
700   $aWilson$b Michael$4aut$4http://id.loc.gov/vocabulary/relators/aut$0309333
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466511703316
996   $aWeighted Littlewood-Paley theory and exponential-square integrability$9230588
997   $aUNISA