On transfer operators on the circle with trigonometric weights

Xianghong Chen, Hans Volkmer

We study spectral properties of the transfer operators $L$ defined on the circle $\mathbb{T}=\mathbb{R}/\mathbb{Z}$ by $$(Lu)(t)=\frac{1}{d}\sum_{i=0}^{d-1} f\left(\frac{t+i}{d}\right…