- Turkish Journal of Mathematics
- Vol: 41 Issue: 1
- Sampling theorem by Green's function in a space of vector-functions
Sampling theorem by Green's function in a space of vector-functions
Authors : Atef Hassan
Pages : 67-79
View : 6 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper we give a sampling expansion for integral transforms whose kernels arise from Green's function of differential operators in a space of vector-functions. The differential operators are in a space of dimension $m$ and consist of systems of $m$ equations in $m$ unknowns. We assume the simplicity of the eigenvalues.Keywords : Sampling theory, vector-functions, Green's function, boundary value problems