The Resource Regular functions of a quaternionic variable, Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
Regular functions of a quaternionic variable, Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
Resource Information
The item Regular functions of a quaternionic variable, Graziano Gentili, Caterina Stoppato, Daniele C. Struppa 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 Regular functions of a quaternionic variable, Graziano Gentili, Caterina Stoppato, Daniele C. Struppa 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
 The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the international research community. At the same time, the theory has already developed sturdy foundations. The richness of the theory of the holomorphic functions of one complex variable and its wide variety of applications are a strong motivation for the study of its analogs in higher dimensions. In this respect, the fourdimensional case is particularly interesting due to its relevance in physics and its algebraic properties, as the quaternion forms the only associative real division algebra with a finite dimension n>2. Among other interesting function theories introduced in the quaternionic setting, that of (slice) regular functions shows particularly appealing features. For instance, this class of functions naturally includes polynomials and power series. The zero set of a slice regular function has an interesting structure, strictly linked to a multiplicative operation, and it allows the study of singularities. Integral representation formulas enrich the theory and they are a fundamental tool for one of the applications, the construction of a noncommutative functional calculus. The volume presents a stateoftheart survey of the theory and a brief overview of its generalizations and applications. It is intended for graduate students and researchers in complex or hypercomplex analysis and geometry, function theory, and functional analysis in general. {u200B}
 Language
 eng
 Extent
 1 online resource.
 Contents

 Spherical Series and Differential
 Fractional Transformations and the Unit Ball
 Generalizations and Applications
 Definitions and Basic Results
 Regular Power Series
 Zeros
 Infinite Products
 Singularities
 Integral Representations
 Maximum Modulus Theorem and Applications
 Isbn
 9781299197718
 Label
 Regular functions of a quaternionic variable
 Title
 Regular functions of a quaternionic variable
 Statement of responsibility
 Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
 Subject

 Functional analysis.
 Functions of a Complex Variable
 Functions of a Complex Variable.
 Functions of complex variables.
 Functions, Quaternion
 Functions, Quaternion
 Functions, Quaternion
 Holomorphe Funktion
 MATHEMATICS  Complex Analysis
 Mathematics
 Mathematics.
 Quaternion
 Sequences (Mathematics)
 Sequences, Series, Summability
 Sequences, Series, Summability.
 Functional Analysis
 Language
 eng
 Summary
 The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the international research community. At the same time, the theory has already developed sturdy foundations. The richness of the theory of the holomorphic functions of one complex variable and its wide variety of applications are a strong motivation for the study of its analogs in higher dimensions. In this respect, the fourdimensional case is particularly interesting due to its relevance in physics and its algebraic properties, as the quaternion forms the only associative real division algebra with a finite dimension n>2. Among other interesting function theories introduced in the quaternionic setting, that of (slice) regular functions shows particularly appealing features. For instance, this class of functions naturally includes polynomials and power series. The zero set of a slice regular function has an interesting structure, strictly linked to a multiplicative operation, and it allows the study of singularities. Integral representation formulas enrich the theory and they are a fundamental tool for one of the applications, the construction of a noncommutative functional calculus. The volume presents a stateoftheart survey of the theory and a brief overview of its generalizations and applications. It is intended for graduate students and researchers in complex or hypercomplex analysis and geometry, function theory, and functional analysis in general. {u200B}
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Gentili, Graziano
 Dewey number
 515/.98
 Index
 index present
 LC call number
 QA331.7
 LC item number
 .G46 2013
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 NLM call number
 Online Book
 http://library.link/vocab/relatedWorkOrContributorDate
 1955
 http://library.link/vocab/relatedWorkOrContributorName

 Stoppato, Caterina
 Struppa, Daniele Carlo
 Series statement
 Springer monographs in mathematics,
 http://library.link/vocab/subjectName

 Functions, Quaternion
 Mathematics
 Functions of a Complex Variable
 Sequences, Series, Summability
 Functional Analysis
 MATHEMATICS
 Functions, Quaternion
 Holomorphe Funktion
 Quaternion
 Label
 Regular functions of a quaternionic variable, Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Spherical Series and Differential
 Fractional Transformations and the Unit Ball
 Generalizations and Applications
 Definitions and Basic Results
 Regular Power Series
 Zeros
 Infinite Products
 Singularities
 Integral Representations
 Maximum Modulus Theorem and Applications
 Control code
 826707085
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9781299197718
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642338717
 http://library.link/vocab/ext/overdrive/overdriveId
 451021
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)826707085
 Label
 Regular functions of a quaternionic variable, Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Spherical Series and Differential
 Fractional Transformations and the Unit Ball
 Generalizations and Applications
 Definitions and Basic Results
 Regular Power Series
 Zeros
 Infinite Products
 Singularities
 Integral Representations
 Maximum Modulus Theorem and Applications
 Control code
 826707085
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9781299197718
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642338717
 http://library.link/vocab/ext/overdrive/overdriveId
 451021
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)826707085
Subject
 Functional analysis.
 Functions of a Complex Variable
 Functions of a Complex Variable.
 Functions of complex variables.
 Functions, Quaternion
 Functions, Quaternion
 Functions, Quaternion
 Holomorphe Funktion
 MATHEMATICS  Complex Analysis
 Mathematics
 Mathematics.
 Quaternion
 Sequences (Mathematics)
 Sequences, Series, Summability
 Sequences, Series, Summability.
 Functional Analysis
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