The Resource Topics in Clifford Analysis : Special Volume in Honor of Wolfgang Sprößig, edited by Swanhild Bernstein, (electronic resource)
Topics in Clifford Analysis : Special Volume in Honor of Wolfgang Sprößig, edited by Swanhild Bernstein, (electronic resource)
Resource Information
The item Topics in Clifford Analysis : Special Volume in Honor of Wolfgang Sprößig, edited by Swanhild Bernstein, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Topics in Clifford Analysis : Special Volume in Honor of Wolfgang Sprößig, edited by Swanhild Bernstein, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the application of quaternionic analysis to elliptic differential equations and boundary value problems. Over the years, Clifford analysis has become a broadbased theory with a variety of applications both inside and outside of mathematics, such as higherdimensional function theory, algebraic structures, generalized polynomials, applications of elliptic boundary value problems, wavelets, image processing, numerical and discrete analysis. The aim of this volume is to provide an essential overview of modern topics in Clifford analysis, presented by specialists in the field, and to honor the valued contributions to Clifford analysis made by Wolfgang Sprößig throughout his career.
 Language
 eng
 Edition
 1st ed. 2019.
 Extent
 1 online resource (XXI, 503 pages)
 Contents

 Part I  Clifford analysis theories
 Cauchy’s formula in Clifford analysis: An Overview
 Quaternionic Hyperbolic Function Theory
 Slice Regular and Harmonicity in Clifford Analysis
 Some notions of Subharmonicity over the Quaternions
 Part II  Applications to Elliptic Partial Differential Equations
 A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the UpperHalf Space
 Hardy Spaces for ThreeDimensional Vekua Equation
 Radial and Angular Derivatives of Distributions
 Applications of Parabolic Dirac Operators to the Instationary Viscous MHD Equations on Conformally Flat Manifolds
 Generalized Riesz Transforms, QuasiMonogenic Functions and Frames
 Part III  Monogenic Polynomials and Numerical Methods
 Quaternionic Operator Calculus for Boundary Value Problems of Micropolar Elasticity
 Constructive Orthonormalization of Monogenic Polynomials on a Finite Cylinder
 Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains
 Newton’s Approach to General Algebra Equations over Clifford Algebras
 Part IV  Differential Geometry
 Connections in Euclidean and NonCommutative Geometry
 Conformal Parametrisation of Loxodroms by Tripels of Circles
 Automorphic Forms and Dirac Operators on Conformally Flat manifolds
 Higher order Fermionic and Bosonic Operators
 Clifford Möbius Geometry
 Separation of Variables in the Semistable Range
 Variety of Idempotents in Nonassociative Algebras
 Part V  Discrete Clifford Analysis
 Relativistic Wave Equations on the Lattice: An Operational Perspective
 CauchyPompeiu Formula for Discrete Monogenic Functions
 A Useful Transformation for Solving the Discrete Beltrami Equation and Reducing a Difference Equation of Second Order to a System of Equations of First Order
 Isbn
 9783030238544
 Label
 Topics in Clifford Analysis : Special Volume in Honor of Wolfgang Sprößig
 Title
 Topics in Clifford Analysis
 Title remainder
 Special Volume in Honor of Wolfgang Sprößig
 Statement of responsibility
 edited by Swanhild Bernstein
 Language
 eng
 Summary
 Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the application of quaternionic analysis to elliptic differential equations and boundary value problems. Over the years, Clifford analysis has become a broadbased theory with a variety of applications both inside and outside of mathematics, such as higherdimensional function theory, algebraic structures, generalized polynomials, applications of elliptic boundary value problems, wavelets, image processing, numerical and discrete analysis. The aim of this volume is to provide an essential overview of modern topics in Clifford analysis, presented by specialists in the field, and to honor the valued contributions to Clifford analysis made by Wolfgang Sprößig throughout his career.
 Assigning source
 Provided by publisher
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Bernstein, Swanhild
 Series statement

 Trends in Mathematics,
 Springer eBooks.
 http://library.link/vocab/subjectName

 Functions of complex variables
 Algebra
 Field theory (Physics)
 Potential theory (Mathematics)
 Difference equations
 Functional equations
 Algebraic geometry
 Label
 Topics in Clifford Analysis : Special Volume in Honor of Wolfgang Sprößig, edited by Swanhild Bernstein, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Part I  Clifford analysis theories  Cauchy’s formula in Clifford analysis: An Overview  Quaternionic Hyperbolic Function Theory  Slice Regular and Harmonicity in Clifford Analysis  Some notions of Subharmonicity over the Quaternions  Part II  Applications to Elliptic Partial Differential Equations  A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the UpperHalf Space  Hardy Spaces for ThreeDimensional Vekua Equation  Radial and Angular Derivatives of Distributions  Applications of Parabolic Dirac Operators to the Instationary Viscous MHD Equations on Conformally Flat Manifolds  Generalized Riesz Transforms, QuasiMonogenic Functions and Frames  Part III  Monogenic Polynomials and Numerical Methods  Quaternionic Operator Calculus for Boundary Value Problems of Micropolar Elasticity  Constructive Orthonormalization of Monogenic Polynomials on a Finite Cylinder  Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains  Newton’s Approach to General Algebra Equations over Clifford Algebras  Part IV  Differential Geometry  Connections in Euclidean and NonCommutative Geometry  Conformal Parametrisation of Loxodroms by Tripels of Circles  Automorphic Forms and Dirac Operators on Conformally Flat manifolds  Higher order Fermionic and Bosonic Operators  Clifford Möbius Geometry  Separation of Variables in the Semistable Range  Variety of Idempotents in Nonassociative Algebras  Part V  Discrete Clifford Analysis  Relativistic Wave Equations on the Lattice: An Operational Perspective  CauchyPompeiu Formula for Discrete Monogenic Functions  A Useful Transformation for Solving the Discrete Beltrami Equation and Reducing a Difference Equation of Second Order to a System of Equations of First Order
 Control code
 9783030238544
 Dimensions
 unknown
 Edition
 1st ed. 2019.
 Extent
 1 online resource (XXI, 503 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783030238544
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 22 illustrations, 10 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1124603071
 Label
 Topics in Clifford Analysis : Special Volume in Honor of Wolfgang Sprößig, edited by Swanhild Bernstein, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Part I  Clifford analysis theories  Cauchy’s formula in Clifford analysis: An Overview  Quaternionic Hyperbolic Function Theory  Slice Regular and Harmonicity in Clifford Analysis  Some notions of Subharmonicity over the Quaternions  Part II  Applications to Elliptic Partial Differential Equations  A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the UpperHalf Space  Hardy Spaces for ThreeDimensional Vekua Equation  Radial and Angular Derivatives of Distributions  Applications of Parabolic Dirac Operators to the Instationary Viscous MHD Equations on Conformally Flat Manifolds  Generalized Riesz Transforms, QuasiMonogenic Functions and Frames  Part III  Monogenic Polynomials and Numerical Methods  Quaternionic Operator Calculus for Boundary Value Problems of Micropolar Elasticity  Constructive Orthonormalization of Monogenic Polynomials on a Finite Cylinder  Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains  Newton’s Approach to General Algebra Equations over Clifford Algebras  Part IV  Differential Geometry  Connections in Euclidean and NonCommutative Geometry  Conformal Parametrisation of Loxodroms by Tripels of Circles  Automorphic Forms and Dirac Operators on Conformally Flat manifolds  Higher order Fermionic and Bosonic Operators  Clifford Möbius Geometry  Separation of Variables in the Semistable Range  Variety of Idempotents in Nonassociative Algebras  Part V  Discrete Clifford Analysis  Relativistic Wave Equations on the Lattice: An Operational Perspective  CauchyPompeiu Formula for Discrete Monogenic Functions  A Useful Transformation for Solving the Discrete Beltrami Equation and Reducing a Difference Equation of Second Order to a System of Equations of First Order
 Control code
 9783030238544
 Dimensions
 unknown
 Edition
 1st ed. 2019.
 Extent
 1 online resource (XXI, 503 pages)
 File format
 multiple file formats
 Form of item

 online
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783030238544
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 22 illustrations, 10 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1124603071
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/TopicsinCliffordAnalysisSpecialVolumein/Py5nRhHqm5w/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/TopicsinCliffordAnalysisSpecialVolumein/Py5nRhHqm5w/">Topics in Clifford Analysis : Special Volume in Honor of Wolfgang Sprößig, edited by Swanhild Bernstein, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>