Analytic functions smooth up to the boundary
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The work Analytic functions smooth up to the boundary represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Analytic functions smooth up to the boundary
Resource Information
The work Analytic functions smooth up to the boundary represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Analytic functions smooth up to the boundary
 Statement of responsibility
 Nikolai A. Shirokov
 Language
 eng
 Summary
 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 Lipschitzlike 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function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished CarlesonJacobs theorem, the complete description of the zeroset of analytic functions continuous up to the boundary, generalizing the classical CarlesonBeurling 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
 Action
 digitized
 Cataloging source
 SPLNM
 Dewey number
 515.73
 Index
 index present
 LC call number

 QA3
 QA331
 LC item number
 .L28 no. 1312
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 1312
Context
Context of Analytic functions smooth up to the boundaryWork of
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