Sampling theorem by Green`s function in a space of vector-functions

Authors : Atef HASSAN

Pages : 67-79

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Publication Date : 0000-00-00

Article Type : Research Paper

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