Titlebook: Holomorphic Functions and Integral Representations in Several Complex Variables; R. Michael Range Textbook 1986 Springer Science+Business

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,Integral Representations in ℂ,,In this chapter we develop the basic machinery of integral representations of functions and differential forms in ℂ. 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.

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,The Levi Problem and the Solution of ∂̅ on Strictly Pseudoconvex Domains,e of its major applications whenever there is a generating form which is . holomorphic in the parameter .. In this chapter we apply these techniques to a strictly pseudoconvex domain .. Here the geometric information is only ., and there is no simple way to find a globally holomorphic generating form.

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0072-5285 owed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete pro

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Textbook 1986thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of sub