English

Schr\"odinger operators with magnetic fields and the canonical solution operator to d-bar

Complex Variables 2007-05-23 v1 Analysis of PDEs

Abstract

In this paper we characterize compactness of the canonical solution operator to d-bar on weighted L^2 spaces on C. For this purpose we consider certain Schr\"odinger operators with magnetic fields and use a condition which is equivalent to the property that these operators have compact resolvents.

Keywords

Cite

@article{arxiv.math/0206207,
  title  = {Schr\"odinger operators with magnetic fields and the canonical solution operator to d-bar},
  author = {Friedrich Haslinger},
  journal= {arXiv preprint arXiv:math/0206207},
  year   = {2007}
}

Comments

5 pages

R2 v1 2026-07-22T16:46:13.641Z