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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

Label
Regular functions of a quaternionic variable
Title
Regular functions of a quaternionic variable
Statement of responsibility
Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
Creator
Contributor
Subject
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 four-dimensional 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 state-of-the-art 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}
Member of
Is part of
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
Instantiates
Publication
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
10.1007/978-3-642-33871-7
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
Publication
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
10.1007/978-3-642-33871-7
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

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