Banach spaces of analytic functions
(2014)

Nonfiction

eBook

Provider: hoopla

Details

PUBLISHED
[United States] : Dover Publications : Made available through hoopla, 2014
DESCRIPTION

1 online resource

ISBN/ISSN
9780486149967 (electronic bk.) MWT11605304, 048614996X (electronic bk.) 11605304
LANGUAGE
English
NOTES

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

Mode of access: World Wide Web

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