Murid, Ali H.M. and Razali, Mohd. R.M and Nashed, M.Z (1995) Biorthogonality and reproducing property. Technical Report. Jabatan Matematik, Universiti Teknologi Malaysia.
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Abstract
Integral operators involving the Szego, the Bergman and the Cauchy kernels are known to have the reproducing property, i.e. all of them reproduce holomorphic functions. Both the Szego and the Bergman kernels have series representations in terms of orthonormal basis. In this paper we derive the Cauchy kernel by means of biorthogonality. The ideas involved are then applied to construct a non-Hermitian kernel admitting reproducing property for a space associated with the Bergman kernel.
| Item Type: | Monograph (Technical Report) |
|---|---|
| Uncontrolled Keywords: | Cauchy kernel, Szego kernel, Bergman kernel, biorthogonality, reproducing property |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 3869 |
| Deposited By: | Assoc. Prof. Dr. Ali Hassan Mohamed Murid |
| Deposited On: | 29 Jun 2007 03:16 |
| Last Modified: | 29 Jun 2007 03:16 |
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