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The paper establishes frequency predictability criteria and presents predictors for two-sided non-vanishing bounded continuous time signals, i. e. , for signals from L_ () that do not necessarily vanish at. The notions of transfer functions, the spectrum gaps, bandlimitness, and high-pass filters are introduced for these signals. This allowed to obtain an analog Whittaker-Shannon-Kotelnikov sampling theorem and a new modification of the corresponding interpolation formula that makes it applicable for non-vanishing signals.
Nikolai Dokuchaev (Thu,) studied this question.