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arXiv · 1803.07073

On recovery of sequences from subsequences: the case of non-periodic spectrum gaps

Nikolai Dokuchaev
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Abstract

The paper investigates recoverability of sequences from their periodic subsequences and offers some modification of the approach suggested in papers arXiv:1605.00414 and arXiv:1803.02233. It is shown that there exists a class of sequences that is everywhere dense in the class of all square-summable sequences and such that its members can be recovered from their periodic subsequences. This recoverability is associated with certain spectrum degeneracy of a new kind.

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Nikolai Dokuchaev. 2018-03-19. On recovery of sequences from subsequences: the case of non-periodic spectrum gaps. https://arxiv.org/abs/1803.07073

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