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On the Bavrin integro-differential operators and their applications to the solution of functional equations. (Russian, English) Zbl 1038.47036
Sib. Mat. Zh. 44, No. 5, 1189-1194 (2003); translation in Sib. Math. J. 44, No. 5, 931-934 (2003).
Summary: 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 the solution of functional equations.
MSC:
47G20 Integro-differential operators
39B99 Functional equations and inequalities
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