Generalized FFT's- A survey of some recent results
نویسندگان
چکیده
In this paper we survey some recent work directed towards generalizing the fast Fourier transform (FFT). We work primarily from the point of view of group representation theory. In this setting the classical FFT can be viewed as a family of e cient algorithms for computing the Fourier transform of either a function de ned on a nite abelian group, or a bandlimited function on a compact abelian group. We discuss generalizations of the FFT to arbitrary nite groups and compact Lie groups.
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