Equiconvergence of spectral decompositions of Hill-Schrödinger operators

Details Equiconvergence of spectral decompositions of Hill-Schrödinger operators Equiconvergence of spectral decompositions of Hill-Schrödinger operators

2011-10-31

arxiv.org/abs/1110.6696v1

Mathematics

Spectral Theory

Scientific paper

We study in various functional spaces the equiconvergence of spectral decompositions of the Hill operator $L= -d^2/dx^2 + v(x), $ $x \in [0,\pi], $ with $H_{per}^{-1} $-potential and the free operator $L^0=-d^2/dx^2, $ subject to periodic, antiperiodic or Dirichlet boundary conditions. In particular, we prove that $$ \|S_N - S_N^0: L^a \to L^b \| \to 0 \quad \text{if} \;\; 1

Affiliated with

Also associated with

No associations

Rating

Equiconvergence of spectral decompositions of Hill-Schrödinger operators 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 Equiconvergence of spectral decompositions of Hill-Schrödinger operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equiconvergence of spectral decompositions of Hill-Schrödinger operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-147159