The frequency dependence of the interlayer conductivity of a layered Fermi
liquid in a magnetic field that is tilted away from the normal to the layer
s is considered. For both quasi-one- and quasi-two-dimensional systems reso
nances occur when the frequency is a harmonic of the frequency at which the
magnetic field causes the electrons to oscillate on the Fermi surface with
in the layers. The intensity of the different harmonic resonances varies si
gnificantly with the direction of the field. The resonances occur for both
coherent and weakly incoherent interlayer transport and so their observatio
n does not imply the existence of a three-dimensional Fermi surface. [S0163
-1829(99)51240-X].