Exponential Riesz bases of subspaces and divided differences

Details Exponential Riesz bases of subspaces and divided differences Exponential Riesz bases of subspaces and divided differences

2001-03-26

arxiv.org/abs/math/0103160v1

Mathematics

Functional Analysis

LaTeX, 19 pages

Scientific paper

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.

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