The Resource Derivatives of Inner Functions, by Javad Mashreghi, (electronic resource)

Derivatives of Inner Functions, by Javad Mashreghi, (electronic resource)

Label
Derivatives of Inner Functions
Title
Derivatives of Inner Functions
Statement of responsibility
by Javad Mashreghi
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Derivatives of Inner Functions was inspired by a conference held at the Fields Institute in 2011 entitled "Blaschke Products and Their Applications." Inner functions form an important subclass of bounded analytic functions. Since they have unimodular boundary values, they appear in many extremal problems of complex analysis. They have been extensively studied since the early twentieth century and the literature on this topic is vast. This book is devoted to a concise study of derivatives of inner functions and is confined to treating the integral means of derivatives and presenting a comprehensive list of results on Hardy and Bergman means. This self-contained monograph allows researchers to get acquainted with the essentials of inner functions, rendering this theory accessible to graduate students while providing the reader with rapid access to the frontiers of research in this field
Member of
http://library.link/vocab/creatorName
Mashreghi, Javad
Dewey number
620.1
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
mmOXdVkXv_k
Language note
English
LC call number
QA331-355
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Fields Institute Monographs,
Series volume
31
http://library.link/vocab/subjectName
  • Functions of complex variables
  • Functional analysis
  • Differential equations, partial
  • Functions of a Complex Variable
  • Functional Analysis
  • Several Complex Variables and Analytic Spaces
Label
Derivatives of Inner Functions, by Javad Mashreghi, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Derivatives of Inner Functions; Preface; Contents; Chapter 1: Inner Functions; 1.1 The Poisson Integral of a Measure; 1.2 The Hardy Space Hp(D); 1.3 Two Classes of Inner Functions; 1.4 The Canonical Factorization; 1.5 A Characterization of Blaschke Products; 1.6 The Nevanlinna Class N and Its Subclass N+; 1.7 Bergman Spaces; Chapter 2: The Exceptional Set of an Inner Function; 2.1 Frostman Shifts and the Exceptional Set ε; 2.2 Capacity; 2.3 Hausdorff Dimension; 2.4 ε Has Logarithmic Capacity Zero; 2.5 The Cluster Set at a Boundary Point; Chapter 3: The Derivative of Finite Blaschke Products
  • 3.1 Elementary Formulas for B'3.2 The Cardinality of the Zeros of B'; 3.3 A Formula for |B'|; 3.4 The Locus of the Zeros of B' in D; 3.5 B Has a Nonzero Residue; Chapter 4: Angular Derivative; 4.1 Elementary Formulas for B' and S'; 4.2 Some Estimations for Hp-Means; 4.3 Some Estimations for Ap-Means; 4.4 The Angular Derivative; 4.5 The Carathéodory Derivative; 4.6 Another Characterization of the Carathéodory Derivative; Chapter 5: Hp-Means of S'; 5.1 The Effect of Singular Factors; 5.2 A Characterization of Φ' Hp(D); 5.3 We Never Have S' H12(D); 5.4 The Distance Function
  • 10.2 Hp-Means of the First Derivative10.3 Hp-Means of Higher Derivatives; 10.4 Ap-Means of the First Derivative; References; Index
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (175 p.)
Form of item
online
Isbn
9781283909808
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-5611-7
Specific material designation
remote
System control number
  • (CKB)2670000000279092
  • (EBL)1081961
  • (OCoLC)821031019
  • (SSID)ssj0000798521
  • (PQKBManifestationID)11510594
  • (PQKBTitleCode)TC0000798521
  • (PQKBWorkID)10743908
  • (PQKB)11788166
  • (DE-He213)978-1-4614-5611-7
  • (MiAaPQ)EBC1081961
  • (EXLCZ)992670000000279092
Label
Derivatives of Inner Functions, by Javad Mashreghi, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • Derivatives of Inner Functions; Preface; Contents; Chapter 1: Inner Functions; 1.1 The Poisson Integral of a Measure; 1.2 The Hardy Space Hp(D); 1.3 Two Classes of Inner Functions; 1.4 The Canonical Factorization; 1.5 A Characterization of Blaschke Products; 1.6 The Nevanlinna Class N and Its Subclass N+; 1.7 Bergman Spaces; Chapter 2: The Exceptional Set of an Inner Function; 2.1 Frostman Shifts and the Exceptional Set ε; 2.2 Capacity; 2.3 Hausdorff Dimension; 2.4 ε Has Logarithmic Capacity Zero; 2.5 The Cluster Set at a Boundary Point; Chapter 3: The Derivative of Finite Blaschke Products
  • 3.1 Elementary Formulas for B'3.2 The Cardinality of the Zeros of B'; 3.3 A Formula for |B'|; 3.4 The Locus of the Zeros of B' in D; 3.5 B Has a Nonzero Residue; Chapter 4: Angular Derivative; 4.1 Elementary Formulas for B' and S'; 4.2 Some Estimations for Hp-Means; 4.3 Some Estimations for Ap-Means; 4.4 The Angular Derivative; 4.5 The Carathéodory Derivative; 4.6 Another Characterization of the Carathéodory Derivative; Chapter 5: Hp-Means of S'; 5.1 The Effect of Singular Factors; 5.2 A Characterization of Φ' Hp(D); 5.3 We Never Have S' H12(D); 5.4 The Distance Function
  • 10.2 Hp-Means of the First Derivative10.3 Hp-Means of Higher Derivatives; 10.4 Ap-Means of the First Derivative; References; Index
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (175 p.)
Form of item
online
Isbn
9781283909808
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-5611-7
Specific material designation
remote
System control number
  • (CKB)2670000000279092
  • (EBL)1081961
  • (OCoLC)821031019
  • (SSID)ssj0000798521
  • (PQKBManifestationID)11510594
  • (PQKBTitleCode)TC0000798521
  • (PQKBWorkID)10743908
  • (PQKB)11788166
  • (DE-He213)978-1-4614-5611-7
  • (MiAaPQ)EBC1081961
  • (EXLCZ)992670000000279092

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