Ukrainian Mathematical Bulletin

Volume 4, Issue 3, 2007 pp. 433-447.

On the Spectrum of One-dimensional Perturbations of Volterra Operators on Sobolev Spaces

Authors: Galina S. Romashchenko
Author institution: Donetsk National University, ul. Universitetskaya 24, 83055, Donetsk, Ukraine gal_romash@mail.ru

Summary: In this paper we study the problem of completeness and basis properties of a system of eigen and adjoint vectors of finite dimensional perturbations of Volterra operators on Sobolev spaces $W_p^m[0,1]$.

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