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SUMMARY:Nonvanishing minors and uncertainty principles for Fourier analysis over  finite fields (Daniel Katz\, CSUN)
DESCRIPTION: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 symmetries that arise from certain group actions\, with some of the simplest examples being even and odd functions.  This new uncertainty principle gives a bound that is sharp and\, for some classes of functions\, stronger than that of Biro-Meshulam-Tao.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-daniel-katz-csun/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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