FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 4, PAGES 1167-1178

On the problem of decomposition of vectors of a locally convex space into a series in terms of eigenelements of a linear operator

O. D. Solomatin

Abstract

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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.

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Last modified: December 9, 1999