Abstract

A function of sine type means an entire function of exponential type 0$ SRC=http://ej.iop.org/images/0025-5726/14/1/A05/tex_im_1079_img2.gif/>, satisfying the condition outside some strip . With the normalization these functions can be represented in the form (1)Let denote the function obtained from by replacing by in (1), where is a bounded sequence. In this paper necessary and sufficient conditions on are found, under which is also a function of sine type. Expressions for in terms of are obtained in the case where , where , 1$ SRC=http://ej.iop.org/images/0025-5726/14/1/A05/tex_im_1079_img13.gif/>.Bibliography: 9 titles.

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