Abstract
We construct a multiplicative group structure in the class of integro-differential operators specific for a polydisk which was introduced by I. I. Bavrin. We indicate two applications of these operators to solution of functional equations.
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References
Bavrin I. I., “To the theory of integral representations of holomorphic functions,” Dokl. Akad. Nauk SSSR, 180, No. 1, 12–14 (1968).
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Sechkin G. I., “Operator groups for convex and star-shaped domains and some of their applications to a solution of functional equations,” in: Mathematical Analysis and the Theory of Functions [in Russian], MOPI, Moscow, 1973, pp. 60–67.
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Yakshina, A.S. On the Bavrin Integro-Differential Operators and Their Applications to Solution of Functional Equations. Siberian Mathematical Journal 44, 931–934 (2003). https://doi.org/10.1023/A:1025961425313
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DOI: https://doi.org/10.1023/A:1025961425313