Inverse spectral problem for singular AKNS operator on [0,1]

Details Inverse spectral problem for singular AKNS operator on [0,1] Inverse spectral problem for singular AKNS operator on [0,1]

2006-01-20

arxiv.org/abs/math/0601495v1

Mathematics

Spectral Theory

31 pages

Scientific paper

We consider an inverse spectral problem for a class of singular AKNS operators $H\_a, a\in\N$ with an explicit singularity. We construct for each $a\in\N$, a standard map $\lambda^a\times\kappa^a$ with spectral data $\lambda^a$ and some norming constant $\kappa^a$. For $a=0$, $\lambda^a\times\kappa^a$ was known to be a local coordinate system on $\lr\times\lr$. Using adapted transformation operators, we extend this result to any non-negative integer $a$, give a description of isospectral sets and we obtain a Borg-Levinson type theorem.

Affiliated with

Also associated with

No associations

Rating

Inverse spectral problem for singular AKNS operator on [0,1] 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 singular AKNS operator on [0,1], we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inverse spectral problem for singular AKNS operator on [0,1] will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-9640