Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces

Details Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces

2007-05-02

arxiv.org/abs/0705.0296v1

Mathematics

Functional Analysis

10 pages

Scientific paper

We prove a higher order asymptotic formula for traces of finite block Toeplitz matrices with symbols belonging to H\"older-Zygmund spaces. The remainder in this formula goes to zero very rapidly for very smooth symbols. This formula refine previous asymptotic trace formulas by Szeg\"o and Widom and complement higher order asymptotic formulas for determinants of finite block Toeplitz matrices due to B\"ottcher and Silbermann.

Affiliated with

Also associated with

No associations

Rating

Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces 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 Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-674915