Let $ G $ be a second countable locally compact groupoid with a fixed Haar system $ \{\lambda^{u}\}_{u\in G^{0}} $ , and let $ (\Phi,\Psi) $ be a complementary pair of $ N $ -functions satisfying the $ \Delta_{2} $ -condition.We introduce a continuous field of Orlicz spaces $ (L^{\Phi}_{0},\Delta_{1}) $ over the unit space $ G^{0} $ and give a sufficient condition under which the space $ E^{\Phi}_{0} $ of continuous sections vanishing at infinity is a Banach algebra under a suitable convolution.We also characterize when a closed $ C_{b}(G^{0}) $ -submodule of $ E^{\Phi}_{0} $ is a left ideal.Finally, we establish a groupoid analog of the characterization of the convolutor space of a Morse–Transue space for locally compact groups.
