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Sampling theorems associated with differential operators with finite rank perturbations
Mahmoud H. Annaby,Omar H. El-Haddad,Hassan A. Hassan 대한수학회 2016 대한수학회지 Vol.53 No.5
We derive a sampling theorem associated with first order self-adjoint eigenvalue problem with a finite rank perturbation. The class of the sampled integral transforms is of finite Fourier type where the kernel has an additional perturbation.
SAMPLING THEOREMS ASSOCIATED WITH DIFFERENTIAL OPERATORS WITH FINITE RANK PERTURBATIONS
Annaby, Mahmoud H.,El-Haddad, Omar H.,Hassan, Hassan A. Korean Mathematical Society 2016 대한수학회지 Vol.53 No.5
We derive a sampling theorem associated with first order self-adjoint eigenvalue problem with a finite rank perturbation. The class of the sampled integral transforms is of finite Fourier type where the kernel has an additional perturbation.