|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNISALENTO991002667559707536 |
|
|
Autore |
Muscalu, Camil |
|
|
Titolo |
Classical and multilinear harmonic analysis / Camil Muscalu, Wilhelm Schlag |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cambridge, UK : Cambridge University Press, 2013 |
|
|
|
|
|
|
|
ISBN |
|
9780521882453 (v. 1 : hardback) |
0521882451 (v. 1 : hardback) |
9781107031821 (v. 2 : hardback) |
1107031826 (v. 2 : hardback) |
1107032628 (set) |
|
|
|
|
|
|
|
|
Descrizione fisica |
|
|
|
|
|
|
Collana |
|
Cambridge studies in advanced mathematics ; 137-138 |
|
|
|
|
|
|
Classificazione |
|
|
|
|
|
|
|
|
Altri autori (Persone) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and indexes |
|
|
|
|
|
|
Nota di contenuto |
|
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 ; Calderón-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 ; Calderón 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 |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
"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 the classroom alike. This first volume starts |
|
|
|
|