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 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function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished Carleson-Jacobs theorem, the complete description of the zero-set of analytic functions continuous up to the boundary, generalizing the classical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
- 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 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
- 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 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Analytic-functions-smooth-up-to-the-boundary/KDIEp2SRxCg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Analytic-functions-smooth-up-to-the-boundary/KDIEp2SRxCg/">Analytic functions smooth up to the boundary, Nikolai A. Shirokov</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
