Geodesic
On a Certain Difference Equation and Its Application to the Moment Problem
Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 821-826.

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We study the difference equation $$ \sum_{m_1,m_2}\Omega[\sigma_{m_1,m_2}(z)]=g(z), \qquad z\in D, $$ where $D$ is the unit square, $g(z)\in A(D)$, $\sigma_{m_1,m_2}(z)=z+m_1i+m_2$, $|m_1|+|m_2|=2$, and $\Omega(z)\in A(cD)$ is an unknown function. 
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F. N. Garif'yanov. On a Certain Difference Equation and Its Application to the Moment Problem. Matematičeskie zametki, Tome 73 (2003) no. 6, pp. 821-826. http://geodesic.mathdoc.fr/item/MZM_2003_73_6_a2/

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