Coverart for item
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)

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
Contributor
Editor
Subject
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 broad-based theory with a variety of applications both inside and outside of mathematics, such as higher-dimensional 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.--
Member of
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)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-030-23854-4
Instantiates
Publication
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 Upper-Half Space -- Hardy Spaces for Three-Dimensional 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, Quasi-Monogenic 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 Non-Commutative 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 -- Cauchy-Pompeiu 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
978-3-030-23854-4
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, non-commercial 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)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-030-23854-4
Publication
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 Upper-Half Space -- Hardy Spaces for Three-Dimensional 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, Quasi-Monogenic 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 Non-Commutative 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 -- Cauchy-Pompeiu 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
978-3-030-23854-4
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, non-commercial 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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