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Investigation of the problem of simultaneously concentrating a function. and its Fourier transform has led to some interesting special functions that have widespread applications in engineering. They provide a means of proving a rigorous version of an engineering folk theorem called the 2WT-Theorem. Many generalizations of these ideas seem to possess a similar elegant mathematical structure. A brief descriptive review is given of these developments.
D. Slepian (Fri,) studied this question.