Abstract
Denote by B2σ,p (1 < p < ∞) the bandlimited class p-integrable functions whose Fourier transform is supported in the interval [−σ, σ]. It is shown that a function in B2σ,p can be reconstructed in Lp(ℝ) by its sampling sequences {f (κπ / σ)}κ∈ℤ and {f’ (κπ / σ)}κ∈ℤ using the Hermite cardinal interpolation. Moreover, it will be shown that if f belongs to Lpr (ℝ), 1 < p < ∞, then the exact order of its aliasing error can be determined.
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