A lower bound for n-diameters |
| |
Authors: | I. F. Sharygin |
| |
Affiliation: | (1) M. V. Lomonosov Moscow State University, USSR |
| |
Abstract: | Let D be a subset of the s-dimensional lattice ZS, M=M(D) the number of elements in D,Dthe space of trigonometric polynomials on the torus TS with spectrum concentrated in D and having unit norm in L2(TS). In this paper we give the following bound for the Gel'fand diameter:dn(D,C(Ts))M/2–N/2. This bound is subsequently used for actual functional classes.Translated from Matematicheskie Zametki, Vol. 12, No. 4, pp. 413–419, October, 1972. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|