科研之友
微信
新浪微博
Facebook
分享链接
摘要
Describing the symmetry of a mapping by equivariance with respect to a linear transformation group, the reference [Proc. Roy. Soc. Edinburgh A130 (2000), 1153-11631 gave the existence of equivariant solutions of the polynomial-like iterative equation under the action of topologically finitely generated subgroups of GL(R) on R and the orthogonal group O(N) on R-N(N >= 2). In this paper, based on the algebraic structure of closed subgroups of GL(R), we prove the equivariance of solutions on R with respect to closed subgroups of GL(R) and extend the result of O(N)-equivariance of solutions to the group O(N) x < cI(N)> on R-N.
- 出版日期2008-1
- 单位四川大学
