Additional Analytic Topics

  • Steven G. Krantz
Part of the Graduate Texts in Mathematics book series (GTM, volume 268)


The concept of “domain of holomorphy” is central to the function theory of several complex variables. The celebrated solution of the Levi problem tells us that a connected open set (a domain) is a domain of holomorphy if and only if it is pseudoconvex. For us, in the present book, pseudoconvexity is Levi pseudoconvexity; this is defined in terms of the positive semi-definiteness of the Levi form.


Dirichlet Problem Neumann Problem Pseudodifferential Operator 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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© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Steven G. Krantz
    • 1
  1. 1.Department of MathematicsWashington University at St. LouisSt. LouisUSA

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