  In the framework of light-cone gauge approach, bosonic and fermionic
mixed-symmetry continuous-spin fields in AdS space and flat space are
considered. For such fields, the light-cone gauge actions are found.
Realization of relativistic symmetries of AdS and flat spaces on the
continuous-spin fields is also presented. Simple realization of spin operators
is found. With respect to vector variable entering the continuous-spin fields,
the spin operators for the fields in flat space turn out to be first-order
differential operators, while, for the the fields in AdS space, the spin
operators are realized as the second-order differential operators. By product,
we obtain also the simple description of triplectic mixed-symmetry
continuous-spin fields.
