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On the Infinite Dimensionality of the Middle $L^2$ Cohomology of Complex Domains

On the Infinite Dimensionality of the Middle $L^2$ Cohomology of Complex Domains

In 1983, H. Donnelly and C. Fefferman [3] discovered a strikingly new phenomenon in complex analysis by establishing a vanishing theorem for the invariant L cohomology. According to their result, for any strictly pseudoconvex bounded domain D in a Stein manifold of dimension n, the L cohomology groups of D …