On the distribution of Sidon series
| dc.creator | Asmar, Nakhlé | |
| dc.creator | Montgomery-Smith, Stephen J. | |
| dc.date | 1991-12-10 | |
| dc.date | 1999-12-06 | |
| dc.date.accessioned | 2026-07-07T09:04:41Z | |
| dc.date.available | 2026-07-07T09:04:41Z | |
| dc.description | Let B denote an arbitrary Banach space, G a compact abelian group with Haar measure $μ$ and dual group $Γ$. Let E be a Sidon subset of $Γ$ with Sidon constant S(E). Let r_n denote the n-th Rademacher function on [0, 1]. We show that there is a constant c, depending only on S(E), such that, for all $α> 0$: c^{-1}P[| \sum_{n=1}^Na_nr_n| >= c α] <= μ[| \sum_{n=1}^Na_nγ_n| >= α] <= cP [|\sum_{n=1}^Na_nr_n| >= c^{-1} α] | |
| dc.identifier | https://arxiv.org/abs/math/9201235 | |
| dc.identifier | http://arxiv.org/abs/math/9201235 | |
| dc.identifier | Arkiv Mat. 31, (1993), 13-26 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149463 | |
| dc.subject | Functional Analysis | |
| dc.subject | 43A46, 43A15, 46E40, 43A77 | |
| dc.title | On the distribution of Sidon series | |
| dc.type | text |