Exponential Riesz bases of subspaces and divided differences

S. A. Avdonin; S. A. Ivanov

Exponential Riesz bases of subspaces and divided differences

泛函分析 2007-05-23 v1

作者: S. A. Avdonin , S. A. Ivanov

摘要

Linear combinations of exponentials $e^{i\lambda_kt}$ in the case where the distance between some points $\lambda_k$ tends to zero are studied. D. Ullrich has proved the basis property of the divided differences of exponentials in the case when the groups consist of equal number of points all of them are close enough to integers. We have generalized this result for groups with arbitrary number of close points and obtained a full description of Riesz bases of exponential divided differences. The application to a control problem is presented.

关键词

distance sets euclidean distance and geometry bound

引用

@article{arxiv.math/0103160,
  title  = {Exponential Riesz bases of subspaces and divided differences},
  author = {S. A. Avdonin and S. A. Ivanov},
  journal= {arXiv preprint arXiv:math/0103160},
  year   = {2007}
}

备注

LaTeX, 19 pages

Exponential Riesz bases of subspaces and divided differences

摘要

关键词

引用

备注

相关论文