TY - GEN TY - GEN T1 - Weighted Littlewood-Paley Theory and Exponential-Square Integrability T2 - Lecture Notes in Mathematics, A1 - Wilson, Michael. LA - English PP - Berlin, Heidelberg PB - Springer Berlin Heidelberg : Imprint: Springer YR - 2008 ED - 1st ed. 2008. UL - http://discoverylib.upm.edu.my/discovery/Record/978-3-540-74587-7 AB - Littlewood-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. OP - 227 CN - QA403.5-404.5 SN - 9783540745877 KW - Fourier analysis. KW - Partial differential equations. KW - Fourier Analysis. KW - Partial Differential Equations. ER -