And in principle, at least, this should be enough to recover the coefficients.

至少原则上，应该足以恢复系数。

Since again it's a point wise operation and with polynomials, you only need finitely mini samples to be able to recover the coefficients.

又是一个逐点运算并且有多项式，因此您只需要有迷你样本就能够恢复系数。

You sample those polynomials at enough outputs, multiply those samples point wise, and then solve the system to recover the coefficients as a sneaky backdoor way to find the convolution.

您以足够输出对些多项式进行采样，将些样本逐点相乘， 然后求解系统以恢复系数， 作为找到卷积一种偷偷摸摸后门方法。