Littlewood, Paley and Almost-Orthogonality: a theory well ahead of its time
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917315752230912 |
|---|---|
| author | Carbery, Anthony |
| author_facet | Carbery, Anthony |
| contents | Littlewood--Paley theory began with the classic paper of Littlewood and Paley (J.\ E.\ Littlewood, R.\ E.\ A.\ C.\ Paley, {\em Theorems on Fourier Series and Power Series}. J. Lond. Math. Soc. (1), {\bf 6} (1931), 230--33). We discuss this paper and its impact from a historical perspective. We include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them into the context of the current state of the art in harmonic analysis and beyond. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22605 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Littlewood, Paley and Almost-Orthogonality: a theory well ahead of its time Carbery, Anthony Classical Analysis and ODEs 42A25, 42B25 Littlewood--Paley theory began with the classic paper of Littlewood and Paley (J.\ E.\ Littlewood, R.\ E.\ A.\ C.\ Paley, {\em Theorems on Fourier Series and Power Series}. J. Lond. Math. Soc. (1), {\bf 6} (1931), 230--33). We discuss this paper and its impact from a historical perspective. We include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them into the context of the current state of the art in harmonic analysis and beyond. |
| title | Littlewood, Paley and Almost-Orthogonality: a theory well ahead of its time |
| topic | Classical Analysis and ODEs 42A25, 42B25 |
| url | https://arxiv.org/abs/2511.22605 |