Recovery of band limited functions via cardinal splines |
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Authors: | Fang Gensun |
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Institution: | Department of Mathematics,Beijing normal University,Beijing 100875,China |
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Abstract: | The main result of this paper asserts that if a function f is in the class Bπ,p, 1 <p < ∞; that is, those p-integrable functions whose Fourier transforms are supported in the interval - π, π], then f and its
derivatives f(j) j = 1, 2, …, can be recovered from its sampling sequence{f(k)} via the cardinal interpolating spline of degree m in the metric
ofL
q(ℝ)), 1 <p=q < ∞, or 11 <p=q < ⩽ ∞. |
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Keywords: | cardinal spline band limited function recovery |
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