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Compactness of the solution operator to d-bar in weighted L2 - spaces

Friedrich Haslinger, Bernard Helffer

math.CVarXiv:math/0607048

Abstract

In this paper we discuss compactness of the canonical solution operator to d-bar on weigthed L2- spaces on Cn. For this purpose we apply ideas which were used for the Witten Laplacian in the real case and various methods of spectral theory of these operators. We also point out connections to the theory of Dirac and Pauli operators.

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