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Generators of Certain Function Banach Algebras and Related Questions |
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PP: 85-88 |
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Author(s) |
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Mehmet Gurdal,
Suna Saltan,
Ulaş Yamancı,
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Abstract |
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| 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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