Exponential synthesis in the kernel of a symmetric convolution. (English. Russian original) Zbl 1388.30030

Shishkin, A. B.

J. Math. Sci., New York 229, No. 5, 572-599 (2018); translation from Zap. Nauchn. Semin. POMI 447, 129-170 (2016).

Summary: The paper describes a certain class of homogeneous equations of convolution type in spaces of analytic functions on convex domains. We obtain sufficient conditions under which every solution of an equation from this class is approximated by its elementary solutions.

MSC:

30D15

Special classes of entire functions of one complex variable and growth estimates

Keywords:

entire functions; equations of convolution type

References:

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