Clifford algebras and their applications in mathematical physics. Proceedings of the third conference held at Deinze, Belgium, 1993
The articles of this volume will be reviewed individually. They are grouped into four chapters: Clifford algebras and applications; Clifford analysis; Classical mechanics; Mathematical physics; Physical models. Indexed articles: \textit{Brzeziński, T.; Papaloucas, L. C.; Rembieliński, J.}, Quantum Clifford algebras, 3-8 [Zbl 0832.15011] \textit{Helmstetter, Jacques; Micali, Artibano}, Relations between Witt rings and Brauer groups, 9-12 [Zbl 0859.11030] \textit{Porteous, Ian R.}, Clifford algebra tables, 13-22 [Zbl 0834.15022] \textit{Shaw, R.}, Finite geometry and the table of real Clifford algebras, 23-31 [Zbl 0834.15023] \textit{Sobczyk, Garret}, Jordan form in Clifford algebra, 33-41 [Zbl 0832.15012] \textit{Bernstein, S.}, Elliptic boundary value problems in unbounded domains, 45-53 [Zbl 0835.35037] \textit{Booss-Bavnbek, B.; Wojciechowski, K. P.}, Dirac operators and manifolds with boundary, 55-66 [Zbl 0836.58041] \textit{Bureš, Jarolím}, Spin structures and harmonic spinors on Riemann surfaces, 67-74 [Zbl 0847.53005] \textit{Cnops, J.}, Spherical geometry and Möbius transformations, 75-84 [Zbl 0851.53004] \textit{Common, A. K.; Sommen, F.}, Cauchy transforms and bi-axial monogenic power functions, 85-90 [Zbl 0840.30029] \textit{de Graaf, J.}, Note on the use of spherical vector fields in Clifford analysis, 91-100 [Zbl 0839.53015] \textit{Gürlebeck, K.}, Quaternionic analysis and transmission problems, 101-108 [Zbl 0835.35032] \textit{Karlovich, Yuri I.}, \(C^*\)-algebras of nonlocal quaternionic convolution type operators, 109-118 [Zbl 0835.46052] \textit{Klein Obbink, Bart}, On the solutions of \(D^ N \widehat {D}^ M F=0\), 119-127 [Zbl 0834.35030] \textit{Królikowski, Wiesław; Porter, R. Michael}, Biregular quaternionic functions, 129-135 [Zbl 0834.30030] \textit{Laville, G.}, Monogenic and holomorphic functions, 137-139 [Zbl 0846.30030] \textit{Malonek, Helmuth R.}, Hypercomplex differentiability and its applications, 141-150 [Zbl 0835.30038] \textit{Mitrea, Marius}, Clifford algebras and boundary estimates for harmonic functions, 151-158 [Zbl 0840.31002] \textit{Nôno, K.}, Regularity of functions with values in Clifford algebra based on a generalized axially symmetric potential theory operator, 159-166 [Zbl 0839.31005] \textit{Porter, R. Michael; Shapiro, Michael V.; Vasilevski, Nikolai L.}, On the analogue of the \(\overline {\partial}\)-problem in quaternionic analysis, 167-173 [Zbl 0834.30031] \textit{Ramírez de Arellano, Enrique; Shapiro, Michael V.; Vasilevski, Nikolai L.}, Hurwitz pairs and Clifford algebra representations, 175-181 [Zbl 0832.15013] \textit{Shapiro, Michael V.; Vasilevski, Nikolai L.}, On the Bergman kernel function in the Clifford analysis, 183-192 [Zbl 0835.30037] \textit{Sommen, F.}, \(\text{SO} (m)\)-invariant operators on Clifford tensors, 193-202 [Zbl 0832.15014] \textit{Sommen, F.; Van Acker, N.}, Invariant differential operators on polynomial-valued functions, 203-212 [Zbl 0841.30037] \textit{Sommen, F.; Watkins, M.}, A distributional approach to vector manifolds, 213-221 [Zbl 0835.46038] \textit{Souček, Vladimír}, Clifford analysis for higher spins, 223-232 [Zbl 0841.30038] \textit{Sprößig, Wolfgang}, Quaternionic operator calculus and domain perturbation problems, 233-240 [Zbl 0834.35013] \textit{Abou el Dahab, E. T. Y.; McEwan, J.}, A Hamiltonian model of dissipation with Clifford algebraic generalizations, 243-249 [Zbl 0834.70013] \textit{Pappas, Richard C.}, A formulation of Hamiltonian mechanics using geometric calculus, 251-258 [Zbl 0833.70013] \textit{Crawford, James P.}, Local automorphism invariance: A generalization of general relativity, 261-268 [Zbl 0832.15015] \textit{Hestenes, David}, Differential forms in geometric calculus, 269-285 [Zbl 0841.58001] \textit{Kisil, Vladimir V.}, Clifford valued convolution operator algebras on the Heisenberg group. A quantum field theory model, 287-294 [Zbl 0832.15016] \textit{Krüger, Heinz}, Classical solutions of the Dirac equation: Bound Coulomb states in Aharonov-Bohm and Zeeman fields, 295-306 [Zbl 0835.35119] \textit{Parra, Josep M.}, Geometric algebra versus numerical cartesianism. The historical trend behind Clifford's algebra, 307-316 [Zbl 0832.15017] \textit{Pezzaglia, William M. jun.}, Classification of multivector theories and the modification of the postulates of physics, 317-323 [Zbl 0836.53046] \textit{Piazzese, F.}, The ``ideal'' approach to spinors reconsidered, 325-332 [Zbl 0832.15018] \textit{Trautman, Andrzej}, Geometric aspects of spinors. A short review, 333-344 [Zbl 0832.15019] \textit{Vaz, Jayme jun.; Rodrigues, Waldyr A. jun.}, A basis for double solution theory, 345-351 [Zbl 0835.35145] \textit{Zeni, J. Ricardo}, Spatial inversion and spinors, 353-358 [Zbl 0832.15020] \textit{Boudet, Roger}, Nonabelian gauge fields in the real Clifford algebra of space time, 361-366 [Zbl 0837.58041] \textit{Chisholm, J. S. R.; Farwell, R. S.}, Spin gauge theories: Principles and predictions, 367-374 [Zbl 0837.58042] \textit{Doran, Chris; Lasenby, Anthony; Gull, Stephen}, Gravity as a gauge theory in the spacetime algebra, 375-385 [Zbl 0837.58050] \textit{Lasenby, Anthony; Doran, Chris; Gull, Stephen}, Cosmological consequences of a flat-space theory of gravity, 387-396 [Zbl 0837.58051] \textit{Rodrigues, Waldyr A. jun.; Vaz, Jayme jun.}, Zitterbewegung and electron structure, 397-404 [Zbl 0837.35127] \textit{Stein, Manfred}, Separation of the Dirac equation and positive definiteness of quantum numbers, 405-411 [Zbl 0835.35121]
scientific article; zbMATH DE number 759684