Abstract
Interpolation sequences of the form are investigated, and also the problem of when the system of exponentials is nonspanning on the family of arbitrary rectifiable curves in the uniform norm. In terms of the interpolation nodes (or equivalently, the exponents of the system of exponentials) a criterion for the interpolation problem to be solvable is established and the strong nonspanning property of is proved. This significantly improves some known results, in particular, results due to Korevaar, Dixon and Berndtsson. Bibliography: 23 titles.
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