Abstract
There has been considerable interest over the last two decades in developing averaging methods to change the scales of motion in multiphase transport theory. More recently, these averaging methods have been related to instrumentation windows. In this article we relate the averaging theory to impulse-response filters. Moreover, we perform a Fourier analysis in frequency space to indicate how the filters should attenuate low- and high-frequency noise. A generalized averaging theory is presented in the space of tempered distributions. The theory is a natural generalization of classical averaging theory.
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