TY - ELEC
DB - /z-wcorg/
DP - http://worldcat.org
ID - 233973477
LA - English.
UR - http://site.ebrary.com/id/10223043
T1 - Weighted Littlewood-Paley theory and exponential-square integrability
A1 - Wilson, Michael,,
PB - Springer
CY - Berlin; New York
Y1 - 2008///
SN - 9783540745877 3540745874 9783540745822 3540745823
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 discoverie.
ER -