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30G35 Functions of hypercomplex variables and generalized variables (44 articles)

• Cheng, Wanqing; Ding, Chao: On a higher spin generalization of the complex $\Pi $-operator. (English). Archivum Mathematicum, vol. 62 (2026), issue 3, pp. 89-111
• Thirumalai, A.; Muthunagai, K.; Agarwal, Ritu: Sumudu transform of prefunctions and its applications to certain integral, integro differential equations and initial value problems in the bicomplex space. (English). Mathematica Bohemica, vol. 151 (2026), issue 4, pp. 635-648
• Vasu, Priyank; Singh, Rahul Kumar; Paul, Subham: Timelike minimal surface in $\mathbb{E}^3_1$ with arbitrary ends. (English). Archivum Mathematicum, vol. 62 (2026), issue 2, pp. 75-88
• 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
• 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
• Souček, Vladimír: $\mathbold H$-valued differential forms on $\mathbold H$. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 11th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1984. pp. (293)-299
• 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