Abstract
The theme of these lectures is local and global properties of plurisubharmonic functions. First differential inequalities defining convex, subharmonic and plurisubharmonic functions are discussed. It is proved that the marginal function of a plurisubharmonic function is plurisubharmonic under certain hypotheses. We study the singularities of plurisubharmonic functions using methods from convexity theory. Then in the final chapter we generalize the classical notions of order and type of an entire function of finite order to functions of arbitrarily fast growth.
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Kiselman, C.O. (1994). Plurisubharmonic functions and their singularities. In: Gauthier, P.M., Sabidussi, G. (eds) Complex Potential Theory. NATO ASI Series, vol 439. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0934-5_7
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DOI: https://doi.org/10.1007/978-94-011-0934-5_7
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