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Tuesday, March 5, 2019
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March 5, 2019 -Nonvanishing minors and uncertainty principles for Fourier analysis over finite fields (Daniel Katz, CSUN)
Nonvanishing minors and uncertainty principles for Fourier analysis over finite fields (Daniel Katz, CSUN)
Chebotarev's theorem on roots of unity says that every minor of a discrete Fourier transform matrix of prime order is nonzero. We present a generalization of this result that includes analogues for discrete cosine and discrete sine transform matrices as special cases. This leads to a generalization of the Biro-Meshulam-Tao uncertainty principle to functions with […]
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