Complex Analysis in Banach Spaces is popular PDF and ePub book, written by Jorge Mujica in 2010-03-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Complex Analysis in Banach Spaces can be Read Online from any device for your convenience.
Complex Analysis in Banach Spaces Book PDF Summary
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.
Detail Book of Complex Analysis in Banach Spaces PDF
- Author : Jorge Mujica
- Release : 18 March 2010
- Publisher : Courier Corporation
- ISBN : 9780486474663
- Genre : Mathematics
- Total Page : 466 pages
- Language : English
- PDF File Size : 8,5 Mb
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