Front cover image for Weighted Littlewood-Paley theory and exponential-square integrability

Weighted Littlewood-Paley theory and exponential-square integrability

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
eBook, English, ©2008
Springer, Berlin, ©2008
Springer eBooks
1 online resource (xi, 224 pages)
9783540745877, 9783540745822, 9788354074588, 3540745874, 3540745823, 8354074587
233973477
Some 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
English