Caricamento...
Classical and multilinear harmonic analysis /
"This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained, and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and...
| Autori principali: | , |
|---|---|
| Natura: | Printed Book |
| Lingua: | English |
| Pubblicazione: |
United Kingdom:
Cambridge University Press,
2013.
|
| Serie: | Cambridge studies in advanced mathematics ;
137-138 |
| Soggetti: | |
| Accesso online: | Cover image |
Sommario:
- v.1. Fourier series: convergence and summability ; Harmonic functions; Poisson kernel ; Conjugate harmonic fuctions; Hilbert transform ; The Fourier transform on R[superscript d] and on LCA groups ; Introduction to probability theory ; Fourier series and randomness ; Calderâon-Zygmund theory of singular integrals ; Littlewood-Paley theory ; Almost orthogonality ; The uncertainty principle ; Fourier restriction and applications ; Introduction to the Weyl calculus
- v. 2. Leibnitz rules and the generalized Korteweg-de Vries equation ; Classical paraproducts ; Paraproducts on polydisks ; Calderâon commutators and the Cauchy integral on Lipschitz curves ; Iterated Fourier series and physical reality ; The bilinear Hilbert transform ; Almost everywhere convergence of Fourier series ; Flag paraproducts ; Appendix: multilinear interpolation.