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Author Country (or Countries)

Turkey

Abstract

We study the structure of generators of the Banach algebras ( W (n) p [0,1], ∗ α ) and ( W (n) p [0,1],⊛ ) , where ∗ α denotes the convolution product ∗ α defined by ( f ∗ α g ) (x) := R x 0 f (x+α −t)g(t)dt, and the so-called Duhamel product ⊛. We also give some description of cyclic vectors of usual convolution operators acting in the Sobolev space W (n) p [0,1] by the formula Kk f (x) = R x 0 k (x−t) f (t)dy.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/090112

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