Exponential-polynomial basis for null spaces of convolution operators in classes of ultradifferentiable functions

Abanina D. A.
Vladikavkaz Mathematical Journal 2011. Vol. 13. Issue 4.

Abstract:
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.

Keywords: ultradifferentiable functions, convolution equation, exponential-polynomial basis.

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