Carleson's Theorem: Proof, Complements, Variations

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Carleson's Theorem asserts the pointwise convergence of Fourier series of square integrable functions. We give a complete proof, following joint work of the author and C. Thiele. Over 20 exercises are also detailed. We also discuss the derviation of the theorem on L^p spaces. And discuss a number of complements and extensions of the theorem and proof of Carleson's theorem.
An expanded version of the published article (Publ. Mat. (2004) no.2 251-307.) With additional material, updated references, and over 100 references in total

Keywords

Classical Analysis and ODEs, 42

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/96663

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307008
 http://arxiv.org/abs/math/0307008
 Publ. Mat. 48 (2004), no. 2, 251--307.

Collections

arXiv