Email this article Systems of dilated functions: Completeness, minimality, basisness
- Authors: Mityagin B.S.1
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Affiliations:
- The Ohio State University
- Issue: Vol 51, No 3 (2017)
- Pages: 236-239
- Section: Brief Communications
- URL: https://journal-vniispk.ru/0016-2663/article/view/234344
- DOI: https://doi.org/10.1007/s10688-017-0188-x
- ID: 234344
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Abstract
The completeness, minimality, and basis property in L2[0, π] and Lp[0, π], p ≠ 2, are considered for systems of dilated functions un(x) = S(nx), n ∈ N, where S is the trigonometric polynomial S(x) = Σk=0maksin(kx), a0am ≠ 0. A series of results are presented and several unanswered questions are mentioned.
About the authors
B. S. Mityagin
The Ohio State University
Author for correspondence.
Email: mityagin.1@osu.edu
United States, Columbus, Ohio
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