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Algebraic Structure of the Range of a Trigonometric Polynomial by Kovalev, Leonid V.; Yang, Xuerui is a scholarly article available to read on EtoBox.

What is Algebraic Structure of the Range of a Trigonometric Polynomial about?

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.

Author

Kovalev, Leonid V.; Yang, Xuerui

Published

2019

Language

EN