Hypercomplex Analysis and Applications [electronic resource] /
Sabadini, Irene.editor.
Sommen, Franciscus.editor.
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 and postgraduate students who are interested in the field and in connections between hypercomplex analysis and other disciplines, in particular mathematical analysis, mathematical physics, and algebra. Contributors:  C. Bisi, F. Colombo, K. Coulembier, H. De Bie, S.-L. Eriksson, M. Fei, M. Ferreira, P. Franek, G. Gentili, R. Ghiloni, R.S. Kraußhar, R. Lávička, S. Li, M. Libine, M.E. Luna-Elizarrarás, M.A. Macías-Cedeño, M. Martin, H. Orelma, A. Perotti, I. Sabadini, M. Shapiro, P. Somberg, F. Sommen, C. Stoppato, D.C. Struppa, V. Tuček, A. Vajiac, M.B. Vajiac, F. Vlacci M.A. Macías-Cedeño, M. Martin, H. Orelma, A. Perotti, I. Sabadini, M. Shapiro, P. Somberg, F. Sommen, C. Stoppato, D.C. Struppa, V. Tuček, A. Vajiac, M.B. Vajiac, F. Vlacci.
Description based upon print version of record.
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
Includes bibliographical references.
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 and postgraduate students who are interested in the field and in connections between hypercomplex analysis and other disciplines, in particular mathematical analysis, mathematical physics, and algebra. Contributors:  C. Bisi, F. Colombo, K. Coulembier, H. De Bie, S.-L. Eriksson, M. Fei, M. Ferreira, P. Franek, G. Gentili, R. Ghiloni, R.S. Kraußhar, R. Lávička, S. Li, M. Libine, M.E. Luna-Elizarrarás, M.A. Macías-Cedeño, M. Martin, H. Orelma, A. Perotti, I. Sabadini, M. Shapiro, P. Somberg, F. Sommen, C. Stoppato, D.C. Struppa, V. Tuček, A. Vajiac, M.B. Vajiac, F. Vlacci M.A. Macías-Cedeño, M. Martin, H. Orelma, A. Perotti, I. Sabadini, M. Shapiro, P. Somberg, F. Sommen, C. Stoppato, D.C. Struppa, V. Tuček, A. Vajiac, M.B. Vajiac, F. Vlacci.
Partial differential equations.
Physics.
Harmonic analysis.
Numerical analysis.
Partial Differential Equations.
Mathematical Methods in Physics.
Abstract Harmonic Analysis.
Numerical Analysis.