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Sampling Theorem By Green's Function In A Space Ofvector-Functions, Hassan Atef Hassan

Turkish Journal of Mathematics

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.