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It is shown that a significant measurement of the longitudinal structurefunction $F_L(x,Q^2)$ can be performed at HERA, for $Q^2 = 2 GeV^2$ and $Q^2 =5 GeV^2$ and for x around $10^{-4}$, using radiative events with hard photonemission collinear to the incident lepton beam, under the present runningconditions and with an integrated luminosity of 10 $pb^{-1}$. The influence ofexperimental conditions is discussed.Comment: 12 pages (6 figures

On the possibility of measuringF L (x, Q 2) at HERA using radiative events