Density of Sums of Shifts of a Single Function in Hardy Spaces on the Half-Planeстатья
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Дата последнего поиска статьи во внешних источниках: 14 октября 2020 г.
Аннотация: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.