A homogeneous equation of convolution type in a space of analytic functions

O. V. Epifanov


Abstract: For analytic solutions of an equation of convolution type, this article contains proofs of some assertions about approximation by means of elementary solutions and about geometric properties of the domain of existence; these assertions are mainly known for solutions of convolution equations.
Bibliography: 18 titles.

UDC: 517.5

MSC: Primary 34A20, 34A35, 46E10, 44A35, 30D15; Secondary 30C15

Received: 21.07.1983

 English version: Mathematics of the USSR-Izvestiya, 1986, 27:1, 85–100

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