The Convolution Type Equation on in Space of Functions those are Summed with Exponential Weights. Part 1

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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 1 we present results on the boundedness of the convolution operator, the division theorem in the algebra of the analytic functions in the band and a Fredholm problem for Wiener-Hopf operator in studying space.

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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