On the gaps between zeros of trigonometric polynomials

Details On the gaps between zeros of trigonometric polynomials On the gaps between zeros of trigonometric polynomials

2006-01-02

arxiv.org/abs/math/0601021v1

Real Anal. Exchange 28:2 (2002/03), 447--454

Mathematics

Classical Analysis and ODEs

7 pages

Scientific paper

We show that for every finite symetric set S of integer vectors, every real
trigonometric polynomial on the d dimensional torus with spectrum in S has a
zero in every closed ball of diameter D, where D is the sum over S of 1 over 4
times the L2 norm of the vector. We investigate tightness in some special
cases.

Affiliated with

Also associated with

No associations

Rating

On the gaps between zeros of trigonometric polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the gaps between zeros of trigonometric polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the gaps between zeros of trigonometric polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-41548