Complex Analysis in Banach Spaces

Released on by Jorge Mujica
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  • Complex Analysis in Banach Spaces Book Detail

  • Author : Jorge Mujica
  • Release Date : 2010-03-18
  • Publisher : Courier Corporation
  • Genre : Mathematics
  • Pages : 466
  • ISBN 13 : 0486474666
  • File Size : 21,21 MB
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Complex Analysis in Banach Spaces by Jorge Mujica PDF Summary

Book Description: The development of complex analysis is based on issues related to holomorphic continuation and holomorphic approximation. This volume presents a unified view of these topics in finite and infinite dimensions. A high-level tutorial in pure and applied mathematics, its prerequisites include a familiarity with the basic properties of holomorphic functions, the principles of Banach and Hilbert spaces, and the theory of Lebesgue integration. The four-part treatment begins with an overview of the basic properties of holomorphic mappings and holomorphic domains in Banach spaces. The second section explores differentiable mappings, differentiable forms, and polynomially convex compact sets, in which the results are applied to the study of Banach and Fréchet algebras. Subsequent sections examine plurisubharmonic functions and pseudoconvex domains in Banach spaces, along with Riemann domains and envelopes of holomorphy. In addition to its value as a text for advanced graduate students of mathematics, this volume also functions as a reference for researchers and professionals.

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Complex Analysis in Banach Spaces

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The development of complex analysis is based on issues related to holomorphic continuation and holomorphic approximation. This volume presents a unified view of

Complex Analysis in Banach Spaces

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Problems arising from the study of holomorphic continuation and holomorphic approximation have been central in the development of complex analysis in finitely m

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A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit