【摘要】 用B_δ,p（1<P<∞）表示P次可积Fourier变換具有紧支集[-δ,δ]的带有限函数。证明了对于B_3δ,p中的函数,可以在L_p（R）尺度下,由序列{f（κπ/δ）},{f’（κπ/δ）}以及{f’’（κπ/δ）}的Hermite型插值进行重构.更多还原

【Abstract】 Denote by B_σ,p（1< p < ∞） the bandlimited class p-integrable functions whose Fourier transform is supported in the interval[—<r,a].It is shown that a function in B_3σ,p（1<p < ∞） can be reconstructed in L_p（R） by its sampling sequences{f（κπ/δ）},{f’（κπ/δ）}and {f"（κπ/δ）} using the Hermite cardinal interpolation.更多还原