Geodesic
Elementary solutions of a homogeneous $q$-sided convolution equation
Problemy analiza, Tome 7 (2018) no. 3, pp. 137-152

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Spectral synthesis on the complex plane related to solutions of some homogeneous equations of convolution type. There is a method to obtain solutions: we describe the elementary solutions set of the equation (spectral analysis) and prove the approximation theorem (spectral synthesis). In this paper we use the method for some homogeneous equations of convolution type, which appears from spectral synthesis problem for some differential operator.
Keywords: differential operator, holomorphic function, spectral synthesis, spectral analysis, shift operator
Mots-clés : convolution equation. 
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     author = {A. A. Tatarkin and U. S. Saranchuk},
     title = {Elementary solutions of a homogeneous $q$-sided convolution equation},
     journal = {Problemy analiza},
     pages = {137--152},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2018_7_3_a11/}
}
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A. A. Tatarkin; U. S. Saranchuk. Elementary solutions of a homogeneous $q$-sided convolution equation. Problemy analiza, Tome 7 (2018) no. 3, pp. 137-152. http://geodesic.mathdoc.fr/item/PA_2018_7_3_a11/