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Algebra i Analiz, 2023, Volume 35, Issue 5, Pages 1–10 (Mi aa1879)  
Research Papers

Gabor frame operator for the Cauchy kernel

Yu. S. Belov

Saint-Petersburg State University, Department of Mathematics and Computer Science
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Abstract: We find new frame bounds estimates and the Gabor frame operator for Gabor frames generated by the Cauchy kernel. Moreover, we find the explicit expression for the canonical dual window for all values of the lattice parameters $\alpha$, $\beta$, $\alpha\beta\leq1$.
Keywords: Gabor systems, Cauchy kernel, frame operator.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2021-602
Received: 31.05.2023
Document Type: Article
Language: Russian
Citation: Yu. S. Belov, “Gabor frame operator for the Cauchy kernel”, Algebra i Analiz, 35:5 (2023), 1–10
Citation in format AMSBIB
\Bibitem{Bel23}
\by Yu.~S.~Belov
\paper Gabor frame operator for the Cauchy kernel
\jour Algebra i Analiz
\yr 2023
\vol 35
\issue 5
\pages 1--10
\mathnet{http://mi.mathnet.ru/aa1879}
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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