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Abstract
We present the theory of dielectric spectra allowing for homogeneous and inhomogeneous broadening mechanisms contributions. The dielectric absorption line shape for oscillators with memory and Debye type relaxors with distribution of, respectively, resonant frequencies and relaxation times (due to random electric fields distribution) has been calculated. The conditions of hole burning observation are discussed. It is shown that the investigations of the inhomogeneously broadened line shape and width as well as hole burning can give valuable information about the distribution of random fields and relaxation times. The latter seems to be extremely important for the disordered systems like supercooled liquids and relaxor ferroelectrics.