Geodesic
Description of the general form of nontrivial expansions of zero in exponentials. Applications
Izvestiya. Mathematics , Tome 39 (1992) no. 2, pp. 1013-1032

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The general form of series in exponentials that converge absolutely to zero in complete, Hausdorff, locally convex function spaces is described. The results are applied to the description of kernels of (scalar and matrix) convolution operators and to solving the factorization problem for convolution operators. 
@article{IM2_1992_39_2_a3,
     author = {Yu. F. Korobeinik},
     title = {Description of the general form of nontrivial expansions of zero in exponentials. {Applications}},
     journal = {Izvestiya. Mathematics },
     pages = {1013--1032},
     publisher = {mathdoc},
     volume = {39},
     number = {2},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1992_39_2_a3/}
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Yu. F. Korobeinik. Description of the general form of nontrivial expansions of zero in exponentials. Applications. Izvestiya. Mathematics , Tome 39 (1992) no. 2, pp. 1013-1032. http://geodesic.mathdoc.fr/item/IM2_1992_39_2_a3/