The Convolution Type Equation on R in Space of Functions those are Summed with Exponential Weights. Part 2

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Abstract


In this paper (parts 1 and 2) the theory of one-sided invertibility of the convolution operator on R in space of functions those are summed with exponential weights is considered. In part 2 a I.A. Feldman construction providing the solution of a Fredholm problem for the considered convolution operator is contained. After the results of the invertibility (two-, left- and right-sided) of this operator are represented. The description of its defect subspaces and the constructions of its inverse operators is given.

About the authors

V B Dybin

Southern Federal University

Email: vladimir-dybin@yandex.ru
Кафедра алгебры и дискретной математики; Южный федеральный университет; Southern Federal University

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Copyright (c) 2011 Дыбин В.Б.

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