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Matematicheskie Zametki, 2019, Volume 106, Issue 5, Pages 669–678
DOI: https://doi.org/10.4213/mzm12262 (Mi mzm12262) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Density of Sums of Shifts of a Single Function in Hardy Spaces on the Half-Plane

N. A. Dyuzhina

Lomonosov Moscow State University
Full-text PDF (473 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12262
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 $H_{p}$ for $2 \le p < \infty$, as well as in the space of functions analytic in the upper half-plane, continuous on its closure, and tending to zero at infinity.
Keywords: approximation, sums of shifts, density, Hardy spaces.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00333а
This work was supported by the Russian Foundation for Basic Research under grant 18-01-00333a.
Received: 25.11.2018
Revised: 29.03.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 5, Pages 711–719
DOI: https://doi.org/10.1134/S0001434619110051
Bibliographic databases:
Document Type: Article
UDC: 517.547.54+517.982.256
Language: Russian
Citation: N. A. Dyuzhina, “Density of Sums of Shifts of a Single Function in Hardy Spaces on the Half-Plane”, Mat. Zametki, 106:5 (2019), 669–678; Math. Notes, 106:5 (2019), 711–719
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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