Weighted Littlewood-Paley Theory and Exponential-Square Integrability e-bog
436,85 DKK
(inkl. moms 546,06 DKK)
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. Begin...
E-bog
436,85 DKK
Forlag
Springer
Udgivet
31 december 2007
Genrer
PBKF
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
9783540745877
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.