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An exponential-polynomial basis in the solution space of a homogeneous convolution equation in classes of ultradifferentiable functions. (Russian. English summary) Zbl 1326.44002

Summary: We consider a homogeneous convolution equation in the Beurling class of ultradifferentiable functions of mean type on the interval. It is obtained that in the space of its solutions there is an exponential-polynomial basis.

MSC:

44A35 Convolution as an integral transform
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