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Matematicheskie Zametki, 2003, Volume 73, Issue 6, Pages 821–826
DOI: https://doi.org/10.4213/mzm229 (Mi mzm229) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On a Certain Difference Equation and Its Application to the Moment Problem

F. N. Garif'yanov

Kazan State Agricultural Academy
Full-text PDF (169 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm229
Abstract: 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.
Received: 18.05.2000
English version:
Mathematical Notes, 2003, Volume 73, Issue 6, Pages 777–782
DOI: https://doi.org/10.1023/A:1024041511679
Bibliographic databases:
UDC: 517.96
Language: Russian
Citation: F. N. Garif'yanov, “On a Certain Difference Equation and Its Application to the Moment Problem”, Mat. Zametki, 73:6 (2003), 821–826; Math. Notes, 73:6 (2003), 777–782
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
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