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- catalog abstract "This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sense, up to the boundary. The peculiar properties of such a factorization are investigated for the most common classes of Lipschitz-like analytic functions. The book sets out to create a satisfactory factorization theory as exists for Hardy classes. The reader will find, among other things, the theorem on smoothness for the outer part of a function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished Carleson-Jacobs theorem, the complete description of the zero-set of analytic functions continuous up to the boundary, generalizing the classical Carleson-Beurling theorem, and the structure of closed ideals in the new wide range of Banach algebras of analytic functions. The first three chapters assume the reader has taken a standard course on one complex variable; the fourth chapter requires supplementary papers cited there. The monograph addresses both final year students and doctoral students beginning to work in this area, and researchers who will find here new results, proofs and methods.".
- catalog contributor b2119513.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "Bibliography: p. [207]-211.".
- catalog description "Contents: Introduction -- Notations -- The (F)-Property -- Moduli of Analytic Functions Smooth up to the Boundary -- Zeros and their Multiplicities -- Closed Ideals in the Space -- References -- Subject Index.".
- catalog description "This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sense, up to the boundary. The peculiar properties of such a factorization are investigated for the most common classes of Lipschitz-like analytic functions. The book sets out to create a satisfactory factorization theory as exists for Hardy classes. The reader will find, among other things, the theorem on smoothness for the outer part of a function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished Carleson-Jacobs theorem, the complete description of the zero-set of analytic functions continuous up to the boundary, generalizing the classical Carleson-Beurling theorem, and the structure of closed ideals in the new wide range of Banach algebras of analytic functions. The first three chapters assume the reader has taken a standard course on one complex variable; the fourth chapter requires supplementary papers cited there. The monograph addresses both final year students and doctoral students beginning to work in this area, and researchers who will find here new results, proofs and methods.".
- catalog extent "211 p. ;".
- catalog identifier "0387192557 (U.S. : pbk.) :".
- catalog identifier "3540192557".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1312.".
- catalog isPartOf "Lecture notes in mathematics ; 1312".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog subject "510 s 515 19".
- catalog subject "Analytic functions.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "Multipliers (Mathematical analysis)".
- catalog subject "QA3 .L28 no. 1312 QA331".
- catalog tableOfContents "Contents: Introduction -- Notations -- The (F)-Property -- Moduli of Analytic Functions Smooth up to the Boundary -- Zeros and their Multiplicities -- Closed Ideals in the Space -- References -- Subject Index.".
- catalog title "Analytic functions smooth up to the boundary / Nikolai A. Shirokov.".
- catalog type "text".