Format:
Online-Ressource
,
v.: digital
Edition:
Online-Ausg. Springer eBook Collection. Mathematics and Statistics Electronic reproduction; Available via World Wide Web
ISBN:
9783034602464
Series Statement:
Trends in Mathematics
Content:
The purpose of the volume is to bring forward recent trends of research in hypercomplex analysis. The list of contributors includes first rate mathematicians and young researchers working on several different aspects in quaternionic and Clifford analysis. Besides original research papers, there are papers providing the state-of-the-art of a specific topic, sometimes containing interdisciplinary fields. The intended audience includes researchers, PhD students, postgraduate students who are interested in the field and in possible connection between hypercomplex analysis and other disciplines, including mathematical analysis, mathematical physics, algebra.
Note:
Includes bibliographical references
,
Hypercomplex Analysis and Applications; Contents; Preface; On the Geometry of the Quaternionic Unit Disc; Bounded Perturbations of the Resolvent Operators Associated to the F-Spectrum; Harmonic and Monogenic Functions in Superspace; A Hyperbolic Interpretation of Cauchy-Type Kernels in Hyperbolic Function Theory; Gyrogroups in Projective Hyperbolic Clifford Analysis; Invariant Operators of First Order Generalizing the Dirac Operator in 2 Variables; The Zero Sets of Slice Regular Functions and the Open Mapping Theorem; A New Approach to Slice Regularity on Real Algebras
,
On the Incompressible Viscous Stationary MHD Equations and Explicit Solution Formulas for Some Three-dimensional Radially Symmetric DomainsThe Fischer Decomposition for the H-action and Its Applications; Bochner's Formulae for Dunkl-Harmonics and Dunkl-Monogenics; An Invitation to Split Quaternionic Analysis; On the Hyperderivatives of Moisil-Théodoresco Hyperholomorphic Functions; Deconstructing Dirac Operators. II: Integral Representation Formulas; A Differential Form Approach to Dirac Operators on Surfaces; Killing Tensor Spinor Forms and Their Application in Riemannian Geometry
,
Construction of Conformally Invariant Differential OperatorsRemarks on Holomorphicity in Three Settings: Complex, Quaternionic, and Bicomplex; The Gauss-Lucas Theorem for Regular Quaternionic Polynomials;
,
Electronic reproduction; Available via World Wide Web
Additional Edition:
ISBN 9783034602457
Language:
English
Subjects:
Mathematics
Keywords:
Hyperkomplexe Funktion
;
Dirac-Operator
;
Clifford-Analysis
;
Konferenzschrift
;
Aufsatzsammlung
DOI:
10.1007/978-3-0346-0246-4
URL:
Volltext
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