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Dyuzhina  N. A. 《Mathematical Notes》2019,106(5-6):711-719

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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2.
Dyuzhina  N. A. 《Mathematical Notes》2021,109(1-2):46-53
Mathematical Notes - It is proved that the sums $$ \sum_{k=1}^{n} \frac{1}{(z-a_{k})^{2}}\mspace{2mu}, \qquad \operatorname{Im}a_{k} &lt; 0, \quad n \in \mathbb{N}, $$ are dense in all Hardy...  相似文献   
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