Abanina, D. A. An exponential-polynomial basis in the solution space of a homogeneous convolution equation in classes of ultradifferentiable functions. (Russian. English summary) Zbl 1326.44002 Vladikavkaz. Mat. Zh. 13, No. 4, 3-17 (2011). 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. Cited in 5 Documents MSC: 44A35 Convolution as an integral transform Keywords:ultradifferentiable functions; convolution equation; exponential-polynomial basis PDFBibTeX XMLCite \textit{D. A. Abanina}, Vladikavkaz. Mat. Zh. 13, No. 4, 3--17 (2011; Zbl 1326.44002) Full Text: Link