• DML-CZ Home

30G35 Functions of hypercomplex variables and generalized variables (41 articles)

• Mir, Abdullah: On the zeros of a quaternionic polynomial: An extension of the Eneström-Kakeya theorem. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 3, pp. 649-662
• Yuan, Hongfen; Karachik, Valery V.: Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 2, pp. 523-539
• Yuan, Hongfen: On representations of real analytic functions by monogenic functions. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 4, pp. 997-1013
• Yuan, Hongfen: A Cauchy-Pompeiu formula in super Dunkl-Clifford analysis. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 3, pp. 795-808
• Fu, Yongqiang; Zhang, Binlin: Weak solutions for elliptic systems with variable growth in Clifford analysis. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 3, pp. 643-670
• Li, Junxia; Ryan, John; Vanegas, Carmen J.: Rarita-Schwinger type operators on spheres and real projective space. (English). Archivum Mathematicum, vol. 48 (2012), issue 4, pp. 271-289
• Ku, Min; Kähler, Uwe; Cerejeiras, Paula: Solutions to a class of polynomially generalized Bers–Vekua equations using Clifford analysis. (English). Archivum Mathematicum, vol. 48 (2012), issue 5, pp. 371-385
• Lávička, Roman: Canonical bases for $\mathfrak{sl}(2,{\mathbb{C}})$-modules of spherical monogenics in dimension 3. (English). Archivum Mathematicum, vol. 46 (2010), issue 5, pp. 339-349
• Brackx, Fred; de Schepper, Hennie; Souček, Vladimír: Fischer decompositions in Euclidean and Hermitean Clifford analysis. (English). Archivum Mathematicum, vol. 46 (2010), issue 5, pp. 301-321
• Sikora, Martin: An integral formula of hyperbolic type for solutions of the Dirac equation on Minkowski space with initial conditions on a hyperboloid. (English). Archivum Mathematicum, vol. 46 (2010), issue 5, pp. 363-376
• Brackx, Fred; de Schepper, Nele; Sommen, Frank: Clifford-Hermite-monogenic operators. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 4, pp. 1301-1322
• Lávička, Roman: Finely differentiable monogenic functions. (English). Archivum Mathematicum, vol. 42 (2006), issue 5, pp. 301-305
• Królikowski, Wiesław: On 4-dimensional locally conformally flat almost Kähler manifolds. (English). Archivum Mathematicum, vol. 42 (2006), issue 3, pp. 215-223
• Lávička, Roman: A generalization of Fueter’s monogenic functions to fine domains. (English). In: Čadek, Martin (ed.): Proceedings of the 25th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2006. pp. [129]-138
• Somberg, Petr: Higher monogenicity and residue theorem for Rarita-Schwinger operator. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 23rd Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2004. pp. [177]-191
• Meister, E.; Meister, L.: Some initial boundary problems in electrodynamics for canonical domains in quaternions. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 429-442
• Bečvář, Jindřich: Eduard Weyr, lineární algebra a teorie hyperkomplexních čísel. (Czech) [Eduard Weyr, linear algebra and theory of hypercomplex numbers]. In: Bečvář, Jindřich (editor): Eduard Weyr (1852-1903). (Czech). Praha: Prometheus, 1995. 80-7196-024-1, pp. 91-120
• Kolář, Martin: Envelopes of holomorphy for solutions of the Laplace and Dirac equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 3, pp. 479-494
• van Acker, Nadine: The maximal function of a complex measure. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1991. pp. [41]-46
• Bureš, J.; Souček, V.: The Penrose transform and Clifford analysis. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1991. pp. [97]-104
• Abul-Ez, M. A.; Constales, Denis: Basic sets of polynomials in Clifford analysis. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 647-655
• Xu, Zhenyuan: On boundary value problem of Neumann type for hypercomplex function with values in a Clifford algebra. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1990. pp. [213]-226
• Sommen, F.: Spingroups and spherical means III. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1989. pp. [295]-323
• Gürlebeck, Klaus; Sprössig, Wolfgang: An application of quaternionic analysis to the solution of time-independent Maxwell equations and of Stokes’ equation. (English). In: Frolík, Z., Souček, V. and Fabián, M. (eds.): Proceedings of the 14th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1987. pp. [61]-76
• Gürlebeck, K.; Sprössig, W.: A generalized Leibniz rule and foundation of a discrete quaternionic analysis. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1987. pp. [43]-64
• Sommen, F.: Spingroups and spherical means II. (English). In: Frolík, Z., Souček, V. and Fabián, M. (eds.): Proceedings of the 14th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1987. pp. [157]-177
• McIntosh, Alan G. R.: Clifford algebras and the double-layer potential operator. (English). In: Krbec, Miroslav, Kufner, Alois and Rákosník, Jiří (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Litomyšl, 1986. Vol. 3. BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1986. pp. 69-76
• Brackx, Freddy; Pincket, Willy: Domains of biregularity in Clifford analysis. (English). In: Frolík, Z., Souček, V. and Vinárek, J. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1985. pp. [21]-35
• Delanghe, Richard; Brackx, Freddy; Pincket, Willy: On domains of monogenicity in Clifford analysis. (English). In: Frolík, Z., Souček, V. and Vinárek, J. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1985. pp. [53]-60
• Sommen, F.: Plane waves, biregular functions and hypercomplex Fourier analysis. (English). In: Frolík, Z., Souček, V. and Vinárek, J. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1985. pp. [205]-219
• Sprössig, W.; Gürlebeck, K.: A hypercomplex method of calculating stresses in three-dimensional bodies. (English). In: Frolík, Z. (ed.): Proceedings of the 12th Winter School on Abstract Analysis. Section of Topology. Circolo Matematico di Palermo, Palermo, 1984. pp. [271]-284
• Sommen, F.: Plane elliptic systems and monogenic functions in symmetric domains. (English). In: Frolík, Z. (ed.): Proceedings of the 12th Winter School on Abstract Analysis. Section of Topology. Circolo Matematico di Palermo, Palermo, 1984. pp. [259]-269
• Měska, Jiří: Regular functions of complex quaternionic variable. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 1, pp. 130-145
• Souček, Vladimír: $\bold H$-valued differential forms on $\bold H$. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. [293]-299
• Ryan, John: Cauchy-Kowalewski extension theorems and representations of analytic functionals acting over special classes of real n-dimensional submanifolds of $C^(n+1)$. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. [249]-262
• Brackx, F.; Delanghe, R.; Sommen, F.: Cauchy-Kowalewski theorems in Clifford analysis : a survey. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. 55-70
• Sommen, F.: Microfunctions with values in a Clifford algebra 1. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. [263]-291
• Bureš, Jarolím: Some integral formulas in complex Clifford analysis. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. [81]-87
• Souček, Vladimír: Analysis in complex quaternions and its connections with mathematical physics. (English). In: Frolík, Zdeněk (ed.): Abstracta. 9th Winter School on Abstract Analysis. Czechoslovak Academy of Sciences, Praha, 1981. pp. 168-172
• Markl, M.: The generalized regular functions over conformal quaternionic manifold. (English). In: Frolík, Zdeněk (ed.): Abstracta. 9th Winter School on Abstract Analysis. Czechoslovak Academy of Sciences, Praha, 1981. pp. 114-115
• Markl, Martin: Regular functions over conformal quaternionic manifolds. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 3, pp. 579-583