Banach Spaces of Analytic Functions is popular PDF and ePub book, written by Kenneth Hoffman in 2014-06-10, 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, Banach Spaces of Analytic Functions can be Read Online from any device for your convenience.
Banach Spaces of Analytic Functions Book PDF Summary
A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc. The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations to Dirichlet algebras. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the factorization, and a brief description of the classical approach to the theorems of the first five chapters. The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc. Enhanced with 100 challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level treatment of this topic.
Detail Book of Banach Spaces of Analytic Functions PDF
- Author : Kenneth Hoffman
- Release : 10 June 2014
- Publisher : Courier Corporation
- ISBN : 9780486149967
- Genre : Mathematics
- Total Page : 227 pages
- Language : English
- PDF File Size : 15,5 Mb
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