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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 9 > No. 1


Generators of Certain Function Banach Algebras and Related Questions

PP: 85-88
Mehmet Gurdal, Suna Saltan, Ulaş Yamancı,
We study the structure of generators of the Banach algebras  W(n) p [0,1] , ∗a  and  W(n) p [0,1] ,⊛  , where ∗a denotes the convolution product ∗a defined by  f ∗a g  (x) := R x 0 f (x+a −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] R by the formula Kk f (x) = x 0 k (x−t) f (t)dy.

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