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<図書>
Banach spaces of analytic functions

責任表示 Kenneth Hoffman
データ種別 図書
出版情報 New York : Dover Publications , 1988
本文言語 英語
大きさ viii, 216 p. ; 22 cm
概要 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 con...ined to Banach spaces of analytic functions in the unit disc. The first four chapters examine 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. Book jacket.続きを見る

所蔵情報


: pbk 理系図3F 数理独自 HOFF/20/2A 2007
033212011001602

書誌詳細

一般注記 Reprint. Originally published: Englewood Cliffs : Prentice Hall, 1962
Bibliography: p. 209-213
Includes index
著者標目 *Hoffman, Kenneth
件 名 LCSH:Functional analysis
LCSH:Banach spaces
分 類 LCC:QA320
DC19:515.7
NDC8:415.5
書誌ID 1001449156
ISBN 048665785X
NCID BA07011304
巻冊次 : pbk ; ISBN:048665785X ; XISBN:0486458741
登録日 2011.06.06
更新日 2011.06.06

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