Email this article Density of Sums of Shifts of a Single Function in Hardy Spaces on the Half-Plane
- Authors: Dyuzhina N.A.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 106, No 5-6 (2019)
- Pages: 711-719
- Section: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/151850
- DOI: https://doi.org/10.1134/S0001434619110051
- ID: 151850
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Abstract
It is proved that there exists a function defined in the closed upper half-plane for which the sums of its real shifts are dense in all Hardy spaces Hp for 2 ≤ p < ∞, as well as in the space of functions analytic in the upper half-plane, continuous on its closure, and tending to zero at infinity.
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About the authors
N. A. Dyuzhina
Lomonosov Moscow State University
Author for correspondence.
Email: natasha17954@yandex.ru
Russian Federation, Moscow, 119991
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