Magnetic Schroedinger operators and the d-bar equation
Friedrich Haslinger
Abstract
In this paper we characterize compactness of the canonical solution operator to d-bar on weigthed L2 spaces on C. For this purpose we consider certain Schrödinger operators with magnetic fields and use a condition which is equivalent to the property that these operators have compact resolvents. We also point out what are the obstructions in the case of several complex variables.
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