Geodesic
General elementary solution of a homogeneous $q$-sided convolution type equation
Algebra i analiz, Tome 34 (2022) no. 4, pp. 188-213 Cet article a éte moissonné depuis la source Math-Net.Ru

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Exponential polynomials satisfying a homogeneous equation of convolution type are called its elementary solutions. The article considers convolution-type operators in the complex domain that generalize the well-known operators of $q$-sided convolution and $\pi$-convolution. The properties of such operators are investigated and the general form of elementary solutions (a general elementary solution) of a homogeneous equation of the type of $q$-sided convolution is described.
Keywords: homogeneous equations of convolution type, elementary solutions, general elementary solution. 
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Yu. S. Saranchuk; A. B. Shishkin. General elementary solution of a homogeneous $q$-sided convolution type equation. Algebra i analiz, Tome 34 (2022) no. 4, pp. 188-213. http://geodesic.mathdoc.fr/item/AA_2022_34_4_a5/

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