Regular functions of a quaternionic variable
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The work Regular functions of a quaternionic variable represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Regular functions of a quaternionic variable
Resource Information
The work Regular functions of a quaternionic variable represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 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
 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
 Series statement
 Springer monographs in mathematics,
Context
Context of Regular functions of a quaternionic variableWork of
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 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
 Regular functions of a quaternionic variable, Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
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