  The paper studies properties of continuous time processes with spectrum
degeneracy at a single point where their Fourier transforms vanish with a
certain rate. It appears that these processes are linearly predictable in some
weak sense, meaning that convolution integrals over future times can be
approximated by causal convolutions over past times. The corresponding
predicting kernels are time invariant, and they are presented explicitly in the
frequency domain via their transfer functions. These predictors are "universal"
meaning that they do not require to know details of the spectrum of the
underlying processes; the same predictor can be used for the entire class of
processes with a single point spectrum degeneracy. The predictors feature some
robustness with respect to noise contamination.
