Can you clarify what is meant by “multiplier property” in the statement of this exercise?

Let $C(T)$ be the set of all continuous complex functions on the unit circle $T$. Suppose $left{ gamma_n right}, (n in mathbb{Z})$ is a complex sequence that associates to each $f in C(T)$ a function $Lambda f in C(T)$ whose fourier coefficients are

$$

(Lambda f){hat{}}(n) = gamma_n hat{f}(n) ;; (n in mathbb{Z}).

$$

Prove that $left{ gamma_n right}$ has this multiplier property if there’s a complex Borel measure $mu$ on $T$ such that

$$

gamma_n = int e^{-intheta} dmu(theta) ;; (n in mathbb{Z})

$$

Is it meant which $gamma_n$ makes the Fourier series exist?