Inverse spectral problem for analytic plane domains I: Balian-Bloch trace formula

Details Inverse spectral problem for analytic plane domains I: Balian-Bloch trace formula Inverse spectral problem for analytic plane domains I: Balian-Bloch trace formula

2001-11-07

arxiv.org/abs/math/0111077v3

Comm. Math. Phys. 248 (2004), no. 2, 357--407.

Mathematics

Spectral Theory

First in a series on the inverse spectral problem for analytic plane domains. 53 pages, 1 figure. Added some references

Scientific paper

We give a rigorous version of the classical Balian-Bloch trace formula, a semiclassical expansion around a periodic reflecting ray of the (regularized) resolvent of the Dirichlet Laplacian on a bounded smooth plane domain. It is equivalent to the Poisson relation (or wave trace formula) between spectrum and closed geodesics. We view it primarily as a computational device for explicitly calculating wave trace invariants. Its effectiveness will be illustrated in subsquent articles in the series in which concrete inverse spectral results are proved.

Affiliated with

Also associated with

No associations

Rating

Inverse spectral problem for analytic plane domains I: Balian-Bloch trace formula 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 Inverse spectral problem for analytic plane domains I: Balian-Bloch trace formula, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inverse spectral problem for analytic plane domains I: Balian-Bloch trace formula will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-102862