We construct a multiresolution theory for L²(R)⊕...⊕L²(R). For a good choice of the dilation and translation operators on these larger spaces, it is possible to build singly generated wavelet bases, thus obtaining multiresolution super-wavelets. We give a characterization of super-scaling function, we analyze the convergence of the cascade algorithms and give examples of super-wavelets. Our analysis provides also more insight into the Cohen and Lawton condition for the orthogonality of the scaling function in the classical case on L²(R).