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Nonvanishing minors and uncertainty principles for Fourier analysis over finite fields (Daniel Katz, CSUN)

March 5 @ 12:15 pm - 1:10 pm

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.

Details

Date:
March 5
Time:
12:15 pm - 1:10 pm
Event Category:

Other

Speaker Name
Daniel Katz (CSUN)

Venue

Millikan 2099, Pomona College
610 N. College Ave.
Claremont, CA 91711 United States
+ Google Map

Details

Date:
March 5
Time:
12:15 pm - 1:10 pm
Event Category:

Other

Speaker Name
Daniel Katz (CSUN)

Venue

Millikan 2099, Pomona College
610 N. College Ave.
Claremont, CA 91711 United States
+ Google Map