  We study the energetics and transport properties of polarons in the quasi-one
dimensional electron system over the liquid helium surface. The localization
lengths and the energy of the ground and excited states are calculated within
the hydrodynamic model of the polaron. The polaron bound energy is found and
the temperature for the polaron formation is estimated below 0.1 K. We examine
the possibility of observation of the polarons by measuring both the
spectroscopic transitions and the mobility.
