Invariant subspaces in nonquasianalytic spaces of Ω-ultradifferentiable functions on an interval
N. F. Abuzyarova
Abstract:In this paper we consider a weakened version of the spectral synthesis for the differentiation operator in nonquasianalytic spaces of ultradifferentiable functions. We deal with the widest possible class of spaces of ultradifferentiable functions among all known ones. Namely, these are spaces of Ω-ultradifferentiable functions which have been recently introduced and explored by A.V. Abanin. For differentiation invariant subspaces in these spaces, we establlish conditions of weak spectral synthesis. As an appli… Show more
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