Geodesic
On the~problem of decomposition of vectors of a~locally convex space into a~series in terms of eigenelements of a~linear operator
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 4, pp. 1167-1178

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We solve the problem of the decomposition of vectors of a locally convex space into a series in terms of eigenelements of a linear operator. The theory of entire functions and the new definition of entire eigenvector-function of this operator are widely used. 
@article{FPM_1999_5_4_a11,
     author = {O. D. Solomatin},
     title = {On the~problem of decomposition of vectors of a~locally convex space into a~series in terms of eigenelements of a~linear operator},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1167--1178},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a11/}
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O. D. Solomatin. On the~problem of decomposition of vectors of a~locally convex space into a~series in terms of eigenelements of a~linear operator. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 4, pp. 1167-1178. http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a11/