三角多项式值域的代数结构
Algebraic structure of the range of a trigonometric polynomial
摘要：
复系数三角多项式的值域可以解释为单位圆在洛朗多项式下的像。我们证明了这个值域包含在复平面的一个实代数子集中。虽然包容可能是适当的，但两个集合之间的差异是有限的，除了具有一定对称性的多项式。
英文摘要：
The range of a trigonometric polynomial with complex coefficients can be interpreted as the image of the unit circle under a Laurent polynomial. We show that this range is contained in a real algebraic subset of the complex plane. Although the containment may be proper, the difference between the two sets is finite, except for polynomials with certain symmetry.
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。
