Absolute continuity and spectral concentration for slowly decaying potentials

Details Absolute continuity and spectral concentration for slowly decaying potentials Absolute continuity and spectral concentration for slowly decaying potentials

1998-05-06

arxiv.org/abs/math/9805025v1

Mathematics

Spectral Theory

Scientific paper

We consider the spectral function $\rho(\mu)$ $(\mu \geq 0)$ for the Sturm-Liouville equation $y^{''}+(\lambda-q)y =0$ on $[0,\infty)$ with the boundary condition $y(0)=0$ and where $q$ has slow decay $O(x^{-\alpha})$ $(a>0)$ as $x\to \infty$. We develop our previous methods of locating spectral concentration for $q$ with rapid exponential decay (JCAM 81 (1997) 333-348) to deal with the new theoretical and computational complexities which arise for slow decay.

Affiliated with

Also associated with

No associations

Rating

Absolute continuity and spectral concentration for slowly decaying potentials 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 Absolute continuity and spectral concentration for slowly decaying potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Absolute continuity and spectral concentration for slowly decaying potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-142657