Integral Representations in ℂn
In this chapter we develop the basic machinery of integral representations of functions and differential forms in ℂ n as it relates to the Cauchy-Riemann operator. These representations have their roots in potential theory, the link being the relationship between the complex Laplacian □ and the ordinary Laplacian Δ established in Chapter III, §3.6.
KeywordsIntegral Representation Compact Support Convex Domain Pseudoconvex Domain Bergman Kernel
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