Schrödinger operators with magnetic fields and the canonical solution operator to d-bar

Details Schrödinger operators with magnetic fields and the canonical solution operator to d-bar Schrödinger operators with magnetic fields and the canonical solution operator to d-bar

2002-06-20

arxiv.org/abs/math/0206207v1

Mathematics

Complex Variables

5 pages

Scientific paper

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.

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