Discrete analogues in harmonic analysis: Spherical averages
| dc.creator | Magyar, A. | |
| dc.creator | Stein, E. M. | |
| dc.creator | Wainger, S. | |
| dc.date | 2004-09-20 | |
| dc.date.accessioned | 2026-07-07T05:12:21Z | |
| dc.date.available | 2026-07-07T05:12:21Z | |
| dc.description | In this paper we prove an analogue in the discrete setting of \Bbb Z^d, of the spherical maximal theorem for \Bbb R^d. The methods used are two-fold: the application of certain "sampling" techniques, and ideas arising in the study of the number of representations of an integer as a sum of d squares in particular, the "circle method". The results we obtained are by necessity limited to d \ge 5, and moreover the range of p for the L^p estimates differs from its analogue in \Bbb R^d. | |
| dc.description | 20 pages, published version | |
| dc.identifier | https://arxiv.org/abs/math/0409365 | |
| dc.identifier | http://arxiv.org/abs/math/0409365 | |
| dc.identifier | Ann. of Math. (2), Vol. 155, (2002), no. 1, 189--208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72548 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Discrete analogues in harmonic analysis: Spherical averages | |
| dc.type | text |