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

Friedrich Haslinger

math.CVarXiv:math/0206207

Abstract

In this paper we characterize compactness of the canonical solution operator to d-bar on weighted 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.

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