On continuous endomorphisms of entire functions

A. B. Shishkin

Sbornik. Mathematics, Tome 212 (2021) no. 4, pp. 567-591

Résumé

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.

Détail

Keywords: symmetric shift operator, symmetric convolution operator, exponential synthesis.

Bibliographie

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