Banach Spaces of Analytic Functions

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Banach Spaces of Analytic Functions by Kenneth Hoffman, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Kenneth Hoffman ISBN: 9780486149967
Publisher: Dover Publications Publication: June 10, 2014
Imprint: Dover Publications Language: English
Author: Kenneth Hoffman
ISBN: 9780486149967
Publisher: Dover Publications
Publication: June 10, 2014
Imprint: Dover Publications
Language: English
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.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
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.

More books from Dover Publications

Cover of the book Solved Problems in Classical Electromagnetism by Kenneth Hoffman
Cover of the book 101 Great American Poems by Kenneth Hoffman
Cover of the book Japan Sinks by Kenneth Hoffman
Cover of the book A Christmas Carol by Kenneth Hoffman
Cover of the book The Fairy Tales in Verse and Prose/Les contes en vers et en prose by Kenneth Hoffman
Cover of the book Jane Austen The Dover Reader by Kenneth Hoffman
Cover of the book An Introduction to Existentialism by Kenneth Hoffman
Cover of the book The Stanford Mathematics Problem Book by Kenneth Hoffman
Cover of the book Invertibility and Singularity for Bounded Linear Operators by Kenneth Hoffman
Cover of the book Introduction to Spanish Poetry by Kenneth Hoffman
Cover of the book Greek and Roman Architecture in Classic Drawings by Kenneth Hoffman
Cover of the book A Beginner's Guide to Mathematical Logic by Kenneth Hoffman
Cover of the book Modular Origami Polyhedra by Kenneth Hoffman
Cover of the book The Phantom Ship by Kenneth Hoffman
Cover of the book Songs of Innocence by Kenneth Hoffman
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy