Dynamical sampling in the boundary value problem of Laplace equation in upper half-plane
For the boundary value problem of Laplace equation in upper half plane,the sampling ofϕy∗f to recover the boundary value f is studied.In order to obtain the stability reconstruction of sam-pling,Shannon sampling theorem shows that the sampling rate must satisfy certain conditions.The sta-bility of sampling inequality is solved by analyzing the minimum eigenvalue of the sample diffusion matrix and using the Remez-Turan inequality to avoid the blind spot in the case of insufficient sampling rate in the bandlimited function space.
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维普
