Abstract: A method is provided for generating a composite material with a support structure and a coating on the surface of the support structure, the coating comprising, as active component, crystals of a zeolite material or of a zeolite-like material, with intercrystalline mesopores and/or macropores being formed in the coating, characterized in that the method comprises the following steps: a) providing a suspension which comprises nanoscale starting crystals of a zeolite material or of a zeolite-like material, and also precursor compounds of the zeolite material or zeolite-like material, b) applying the suspension provided in step a) to the surface of the support structure, c) compacting the suspension applied in step b) by at least partially removing the solvent that forms the liquid phase of the suspension, to yield a coating which comprises the starting crystals and the precursor compounds, d) keeping the coating obtained in step c) on the surface of the support structure in a vapor-containing atmosphere at a