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Definitions from Trigonometric and geometric applications

All definitions from Trigonometric and geometric applications.

[DEFINITION]

A trigonometric polynomial is an expression of the form

a_0+\sum_{k=1}^N\bigl(a_k\cos(k\theta)+b_k\sin(k\theta)\bigr), \qquad \theta\in\mathbb R,

where the coefficients $a_k,b_k$ are complex numbers.

It leads to Seen Questions (Linear transformations).