多项式插值Legendre乘子序列
Polynomially Interpolated Legendre Multiplier Sequences
摘要：
证明了勒让德基上的每个可插值多项式的乘子序列都具有$\{h(k^2+k)\}_{k=0}^{\infty}$的形式，其中$h\in\mathbb{R}[x]$ .我们还证明了一个非平凡的集合多项式的某种形式的插值乘子序列的勒让德基础上，我们陈述如何推广这些结果。
英文摘要：
We prove that every multiplier sequence for the Legendre basis which can be interpolated by a polynomial has the form $\{h(k^2+k)\}_{k=0}^{\infty}$, where $h\in\mathbb{R}[x]$. We also prove that a non-trivial collection of polynomials of a certain form interpolate multiplier sequences for the Legendre basis, and we state conjectures on how to extend these results.
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。
