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Zbl 0571.94004
Slepian, David
Some comments on Fourier analysis, uncertainty and modeling. (English)
[J] SIAM Rev. 25, 379-393 (1983). ISSN 0036-1445; ISSN 1095-7200/e

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.

MSC 2000:: *94A11 Application of orthogonal functions in communication
42A38 Fourier type transforms, one variable
94A12 Signal theory
94-02 Research monographs (information and communication)

Keywords: concentration problem; time duration; bandwidth; prolate spheroidal wave functions; Fourier transform; special functions; 2WT-Theorem

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