On transfer operators on the circle with trigonometric weights

  • Xianghong Chen

    University of Wisconsin-Milwaukee, USA
  • Hans Volkmer

    University of Wisconsin-Milwaukee, USA

Abstract

We study spectral properties of the transfer operators defined on the circle by

where is a function on . We focus in particular on the cases and , which are closely related to some classical Fourier-analytic questions. We also obtain some explicit computations, particularly in the case . Our study extends work of Strichartz [11] and Fan and Lau [3].

Cite this article

Xianghong Chen, Hans Volkmer, On transfer operators on the circle with trigonometric weights. J. Fractal Geom. 5 (2018), no. 4, pp. 351–386

DOI 10.4171/JFG/64