球长球函数的进一步性质及相关近带限函数的逼近
Further properties of ball prolates and approximation of related almost band-limited functions
AI总结：
该研究针对球长球球面波函数开展，给出其显式局部估计与更精细的本征值界，证明其适合逼近近带限函数，并与球多项式的相关结果做了对比。
摘要：
本文旨在对文献[25]中定义的、同时作为有限傅里叶变换和某微分算子本征函数的球长球球面波函数给出各类显式局部估计。我们特别给出这些函数及其相关本征值的更精细界。作为结果，我们证明球PSWFs非常适合逼近近带限函数，并将该结果与球多项式相关结果进行了比较。
英文摘要：
In this paper we aim to give various explicit and local estimates of ball prolate spheroidal wave functions defined in [25] as eigenfunctions of both finite Fourier transform and some differential operator. In particular, we give further refined bounds of these functions and their related eigenvalues. As consequence, we show that ball PSWFs are well adapted for the approximation of almost band-limited functions and we compare this result with the one related to the ball polynomials.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
