Coverart for item
The Resource Analytic functions smooth up to the boundary, Nikolai A. Shirokov

Analytic functions smooth up to the boundary, Nikolai A. Shirokov

Label
Analytic functions smooth up to the boundary
Title
Analytic functions smooth up to the boundary
Statement of responsibility
Nikolai A. Shirokov
Creator
Contributor
Subject
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 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function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished Carleson-Jacobs theorem, the complete description of the zero-set of analytic functions continuous up to the boundary, generalizing the classical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
Member of
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
Instantiates
Publication
Note
"Subseries: USSR."
Bibliography note
Includes bibliographical references (pages 207-211) 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
Publication
Note
"Subseries: USSR."
Bibliography note
Includes bibliographical references (pages 207-211) 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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