  We propose a description of continuous spin massless fields of mixed-symmetry
type in Minkowski space at the level of equations of motion. It is based on the
appropriately modified version of the constrained system originally used to
describe massless bosonic fields of mixed-symmetry type. The description is
shown to produce generalized versions of triplet, metric-like, and light-cone
formulations. In particular, for scalar continuous spin fields we reproduce the
Bekaert-Mourad formulation and the Schuster-Toro formulation. Because a
continuous spin system inevitably involves infinite number of fields,
specification of the allowed class of field configurations becomes a part of
its definition. We show that the naive choice leads to an empty system and
propose a suitable class resulting in the correct degrees of freedom. We also
demonstrate that the gauge symmetries present in the formulation are all
Stueckelberg-like so that the continuous spin system is not a genuine gauge
theory.
