The Resource Analytic functions smooth up to the boundary, Nikolai A. Shirokov
Analytic functions smooth up to the boundary, Nikolai A. Shirokov
Resource Information
The item Analytic functions smooth up to the boundary, Nikolai A. Shirokov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Analytic functions smooth up to the boundary, Nikolai A. Shirokov represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished CarlesonJacobs theorem, the complete description of the zeroset of analytic functions continuous up to the boundary, generalizing the classical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
 Language
 eng
 Extent
 1 online resource (211 pages).
 Note
 "Subseries: USSR."
 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
 Isbn
 9783540391753
 Label
 Analytic functions smooth up to the boundary
 Title
 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
 http://library.link/vocab/creatorDate
 1948
 http://library.link/vocab/creatorName
 Shirokov, Nikolai A.
 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
 http://library.link/vocab/relatedWorkOrContributorDate
 1948
 http://library.link/vocab/relatedWorkOrContributorName
 Shirokov, Nikolai A.
 Series statement
 Lecture notes in mathematics,
 Series volume
 1312
 http://library.link/vocab/subjectName

 Analytic functions
 Multipliers (Mathematical analysis)
 Fonctions analytiques
 Multiplicateurs (Analyse mathématique)
 Analytic functions
 Multipliers (Mathematical analysis)
 Label
 Analytic functions smooth up to the boundary, Nikolai A. Shirokov
 Note
 "Subseries: USSR."
 Bibliography note
 Includes bibliographical references (pages 207211) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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
 Control code
 277135565
 Dimensions
 unknown
 Extent
 1 online resource (211 pages).
 Form of item
 online
 Isbn
 9783540391753
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic reproduction.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)277135565
 System details
 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
 Label
 Analytic functions smooth up to the boundary, Nikolai A. Shirokov
 Note
 "Subseries: USSR."
 Bibliography note
 Includes bibliographical references (pages 207211) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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
 Control code
 277135565
 Dimensions
 unknown
 Extent
 1 online resource (211 pages).
 Form of item
 online
 Isbn
 9783540391753
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic reproduction.
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)277135565
 System details
 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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