Integral Representations in ℂn

  • R. Michael Range
Part of the Graduate Texts in Mathematics book series (GTM, volume 108)

Abstract

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.

Keywords

Integral Representation Compact Support Convex Domain Pseudoconvex Domain Bergman Kernel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • R. Michael Range
    • 1
  1. 1.Department of Mathematics and StatisticsState University of New York at AlbanyAlbanyUSA

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