摘要
证明了在Lp(R)尺度下,Fourier变换具有紧支集[—σ,σ]的带有限函数类B3_(σ,p)可以由原函数及带导数序列{f(κπ/δ)}、{f'(κπ/δ)}以及{f"(κπ/δ)},κ∈R完全重构,进一步计算了,当f在L_r^p(R)中时的逼近阶.
In this paper we prove that, denote by B3σ,p the bandlimited class p-integrable functions whose Fourier transform is supported in the interval [-σ,σ], then a function in B3a,p can be reconstructed in Lp（a） by its sampling sequences{f（kπ/δ）}、{f′（kπ/δ））and {f″（kπ/δ）},in Lp（R）, Further, we calculate the order of approximation.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第12期313-320,共8页
Mathematics in Practice and Theory
关键词
带有限函数
重构
逼近阶
band limited function
reconstruct
order of approximation
