Geodesic
On continuous endomorphisms of entire functions
Sbornik. Mathematics, Tome 212 (2021) no. 4, pp. 567-591

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The paper is concerned with continuous linear operators on the space of entire functions. The properties of such operators that are related to the definition of convolution-type operators in spaces of analytic functions are investigated. Corollaries refining both the approximation theorem for the kernel of a symmetric convolution operator and the dual definition of a differential operator in a complex domain are stated. Bibliography: 20 titles.
Keywords: symmetric shift operator, symmetric convolution operator, exponential synthesis. 
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     author = {A. B. Shishkin},
     title = {On continuous endomorphisms of entire functions},
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A. B. Shishkin. On continuous endomorphisms of entire functions. Sbornik. Mathematics, Tome 212 (2021) no. 4, pp. 567-591. http://geodesic.mathdoc.fr/item/SM_2021_212_4_a6/