2018/03/19 by Nikolai Dokuchaev, Dokuchaev, Nikolai
Computer Science · Mathematics · #Coding theory and cryptography #FOS: Computer and information sciences #Information Theory (cs.IT) #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1803.07073
arXiv admin note: text overlap with arXiv:1803.02233
arxiv created 2018/03/19 · openalex publication_date 2018/03/19 · arxiv updated 2018/03/21 · openalex created_date 2018/03/29 · openalex updated_date 2026/07/28
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.