Some computable Wiener-Hopf determinants and polynomials orthogonal on an arc of the unit circle

Details Some computable Wiener-Hopf determinants and polynomials orthogonal on an arc of the unit circle Some computable Wiener-Hopf determinants and polynomials orthogonal on an arc of the unit circle

2003-10-12

arxiv.org/abs/math/0310172v1

Mathematics

Functional Analysis

16 pages

Scientific paper

Some Wiener--Hopf determinants on [0,s] are calculated explicitly for all s>0. Their symbols are zero on an interval and they are related to the determinant with the sine-kernel appearing in the random matrix theory. The determinants are calculated by taking limits of Toeplitz determinants, which in turn are found from the related systems of polynomials orthogonal on an arc of the unit circle. As is known, the latter polynomials are connected to those orthogonal on an interval of the real axis. This connection is somewhat extended here. The determinants we compute originate from the Bernstein-Szego (in particular Chebyshev) orthogonal polynomials.

Affiliated with

Also associated with

No associations

Rating

Some computable Wiener-Hopf determinants and polynomials orthogonal on an arc of the unit circle 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 Some computable Wiener-Hopf determinants and polynomials orthogonal on an arc of the unit circle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some computable Wiener-Hopf determinants and polynomials orthogonal on an arc of the unit circle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-229731