Integral Representations in ℂn

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


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.


Integral Representation Compact Support Convex Domain Pseudoconvex Domain Bergman Kernel 
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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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