| dc.creator |
Karaev, M. T. |
|
| dc.creator |
Tuna, H. |
|
| dc.date |
2006-07-01T00:00:00Z |
|
| dc.date.accessioned |
2021-12-03T11:16:12Z |
|
| dc.date.available |
2021-12-03T11:16:12Z |
|
| dc.identifier |
2105b9ad-0101-4554-820c-79190474a350 |
|
| dc.identifier |
10.1080/03081080512331318481 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/2105b9ad-0101-4554-820c-79190474a350/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/90367 |
|
| dc.description |
Let C-A((n))(D) denote the algebra of all n-times continuously differentiable functions on (D) over bar which are holomorphic on the unit disc D = {z is an element of C: \z\< 1}. We prove that C-A((n))(D) is a Banach algebra with multiplication as Duhamel product (f*g)(z) = d/dz integral(z)(o) f(z - )g(t)dt and describe its maximal ideal space. We also describe the commutant and strong cyclic vectors of the integration operator (Tf)(z) = integral(z)(o)f(t)dt. Using the Duhamel product we also study the extended eigenvalues and the corresponding extended eigenvectors of the integration operator T. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
On some applications of Duhamel product |
|
| dc.type |
info:eu-repo/semantics/article |
|