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”, Fundam. Prikl. Mat., 1999, Volume 5, Issue 4,Pages <nobr>1167

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

Orel State University

Abstract: 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.

UDC: 517.983

Received: 01.02.1997