Biorthogonality and reproducing property

• Main Authors: Murid, Ali H.M., Razali, Mohd. R.M, Nashed, M.Z
• Format: Monograph
• Published: Jabatan Matematik, Universiti Teknologi Malaysia 1995
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/3869/
• Institution: Universiti Teknologi Malaysia

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 Cauch...