This paper studies an integral version of the Read-Bajractarević (RB) operator. We show that this iRB operator constitutes a generalization of the RB operator and derive conditions for the fixed point of the iRB operator to belong to certain function spaces.
This paper was originally based on a project thesis of mine (written under the supervision of Dr. Massopust). The appendix, which describes an implementation of the iRB operator in Julia and is not part of the published paper, is available here.