  Maximally monotone operators are fundamental objects in modern optimization.
The main classes of monotone operators are subdifferential operators and
matrices with a positive semidefinite symmetric part. In this paper, we study a
nice class of monotone operators: displacement mappings of isometries of finite
order. We derive explicit formulas for resolvents, Yosida approximations, and
(set-valued and MoorePenrose) inverses. We illustrate our results by
considering certain rational rotators and circular shift operators.
