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.
Sampling theory, vector-functions, Green's function, boundary value problems
HASSAN, HASSAN ATEF
"Sampling theorem by Green's function in a space ofvector-functions,"
Turkish Journal of Mathematics: Vol. 41:
1, Article 8.
Available at: https://journals.tubitak.gov.tr/math/vol41/iss1/8