17 research outputs found

    On a generalized Rubel's operator equation

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    On derivation operators with respect to the Duhamel convolution in the space of analytic functions

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    We solve the Leibniz operator equation with respect to the Duhamel convolution in the class of linear continuous operators that act in the space of functions analytic in arbitrary starlike domain of the complex plane with respect to the origin

    On the equivalence of differential operators of infinite order with constant coefficients

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    summary:We investigate the conditions of equivalence of a differential operator of infinite order with constant coefficients to the operator of differentiation in one space of analytic functions. We also study the conditions of continuity of a differential operator of infinite order with variable coefficients in such space

    On a class of diagonal operators in the spaces of analytic functions and its application

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