Carleman’s Formulas in Complex Analysis

Released on by L.A. Aizenberg
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  • Carleman’s Formulas in Complex Analysis Book Detail

  • Author : L.A. Aizenberg
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 317
  • ISBN 13 : 9401115966
  • File Size : 7,7 MB
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Carleman’s Formulas in Complex Analysis by L.A. Aizenberg PDF Summary

Book Description: Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)). They solve the classical problem of recovering at the points of a do main D a holomorphic function that is sufficiently well-behaved when approaching the boundary aD, from its values on aD or on S. Alongside with this classical problem, it is possible and natural to consider the following one: to recover the holomorphic function in D from its values on some set MeaD not containing S. Of course, M is to be a set of uniqueness for the class of holomorphic functions under consideration (for example, for the functions continuous in D or belonging to the Hardy class HP(D), p ~ 1).

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Carleman’s Formulas in Complex Analysis

Carleman’s Formulas in Complex Analysis

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Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional co

Complex Analysis and Dynamical Systems III

Complex Analysis and Dynamical Systems III

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The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent function

Complex Analysis and Dynamical Systems V

Complex Analysis and Dynamical Systems V

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This volume contains the proceedings of the Fifth International Conference on Complex Analysis and Dynamical Systems, held from May 22-27, 2011, in Akko (Acre),