Peña Peña, Dixan; Sabadini, Irene; Sommen, Franciscus Fueter’s theorem for monogenic functions in biaxial symmetric domains. (English) Zbl 1383.30016 Result. Math. 72, No. 4, 1747-1758 (2017). MSC: 30G35 PDFBibTeX XMLCite \textit{D. Peña Peña} et al., Result. Math. 72, No. 4, 1747--1758 (2017; Zbl 1383.30016) Full Text: DOI arXiv
Peña Peña, Dixan; Sabadini, Irene; Sommen, Franciscus Segal-Bargmann-Fock modules of monogenic functions. (English) Zbl 1377.30043 J. Math. Phys. 58, No. 10, 103507, 9 p. (2017). MSC: 30G35 PDFBibTeX XMLCite \textit{D. Peña Peña} et al., J. Math. Phys. 58, No. 10, 103507, 9 p. (2017; Zbl 1377.30043) Full Text: DOI arXiv Link
Peña, Dixan Peña; Sabadini, Irene; Sommen, Frank On two-sided monogenic functions of axial type. (English) Zbl 1376.30038 Mosc. Math. J. 17, No. 1, 129-143 (2017). MSC: 30G35 PDFBibTeX XMLCite \textit{D. P. Peña} et al., Mosc. Math. J. 17, No. 1, 129--143 (2017; Zbl 1376.30038) Full Text: arXiv Link
Colombo, Fabrizio; Peña, Dixan Peña; Sommen, Frank A Cauchy kernel for the Hermitian submonogenic system. (English) Zbl 1406.30016 Math. Nachr. 290, No. 2-3, 201-217 (2017). MSC: 30G35 32A26 PDFBibTeX XMLCite \textit{F. Colombo} et al., Math. Nachr. 290, No. 2--3, 201--217 (2017; Zbl 1406.30016) Full Text: DOI arXiv
Peña Peña, Dixan; Sabadini, Irene; Sommen, Frank Polynomial solutions of the Hermitian submonogenic system. (English) Zbl 1355.30043 J. Math. Anal. Appl. 446, No. 1, 730-745 (2017). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 PDFBibTeX XMLCite \textit{D. Peña Peña} et al., J. Math. Anal. Appl. 446, No. 1, 730--745 (2017; Zbl 1355.30043) Full Text: DOI
Peña Peña, Dixan; Sommen, Frank Biaxial monogenic functions from Funk-Hecke’s formula combined with Fueter’s theorem. (English) Zbl 1326.33017 Math. Nachr. 288, No. 14-15, 1718-1726 (2015). MSC: 33C45 30G35 PDFBibTeX XMLCite \textit{D. Peña Peña} and \textit{F. Sommen}, Math. Nachr. 288, No. 14--15, 1718--1726 (2015; Zbl 1326.33017) Full Text: DOI arXiv
De Schepper, Nele; Peña, Dixan Peña; Sommen, Frank Special functions and systems in Hermitian Clifford analysis: higher codimension. (English) Zbl 1317.30076 Math. Methods Appl. Sci. 37, No. 17, 2704-2715 (2014). MSC: 30G35 33C10 33C45 PDFBibTeX XMLCite \textit{N. De Schepper} et al., Math. Methods Appl. Sci. 37, No. 17, 2704--2715 (2014; Zbl 1317.30076) Full Text: DOI
Colombo, Fabrizio; Peña Peña, Dixan; Sabadini, Irene; Sommen, Frank A new integral formula for the inverse Fueter mapping theorem. (English) Zbl 1305.30024 J. Math. Anal. Appl. 417, No. 1, 112-122 (2014). MSC: 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., J. Math. Anal. Appl. 417, No. 1, 112--122 (2014; Zbl 1305.30024) Full Text: DOI arXiv
De Schepper, Nele; Peña, Dixan Peña; Sommen, Frank Special functions and systems in Hermitian Clifford analysis. (English) Zbl 1323.30068 Math. Methods Appl. Sci. 36, No. 11, 1471-1484 (2013). MSC: 30G35 33C10 33C45 PDFBibTeX XMLCite \textit{N. De Schepper} et al., Math. Methods Appl. Sci. 36, No. 11, 1471--1484 (2013; Zbl 1323.30068) Full Text: DOI arXiv
Peña Peña, Dixan Shifted Appell sequences in Clifford analysis. (English) Zbl 1278.30054 Result. Math. 63, No. 3-4, 1145-1157 (2013). Reviewer: Regina de Almeida (Vila Real) MSC: 30G35 12E10 PDFBibTeX XMLCite \textit{D. Peña Peña}, Result. Math. 63, No. 3--4, 1145--1157 (2013; Zbl 1278.30054) Full Text: DOI arXiv
Peña, Dixan Peña; Sommen, Frank Vekua-type systems related to two-sided monogenic functions. (English) Zbl 1275.30024 Complex Anal. Oper. Theory 6, No. 2, 397-405 (2012). MSC: 30G35 33C10 PDFBibTeX XMLCite \textit{D. P. Peña} and \textit{F. Sommen}, Complex Anal. Oper. Theory 6, No. 2, 397--405 (2012; Zbl 1275.30024) Full Text: DOI arXiv
Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan; Sommen, Frank A holomorphic extension theorem using Clifford analysis. (English) Zbl 1222.30041 Complex Anal. Oper. Theory 5, No. 1, 113-130 (2011). Reviewer: Nele De Schepper (Gent) MSC: 30G35 32A40 PDFBibTeX XMLCite \textit{R. Abreu Blaya} et al., Complex Anal. Oper. Theory 5, No. 1, 113--130 (2011; Zbl 1222.30041) Full Text: DOI Link
Malonek, Helmuth R.; Peña Peña, Dixan; Sommen, Frank A Cauchy-Kowalevski theorem for inframonogenic functions. (English) Zbl 1235.30031 Math. J. Okayama Univ. 53, 167-172 (2011). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 35G10 PDFBibTeX XMLCite \textit{H. R. Malonek} et al., Math. J. Okayama Univ. 53, 167--172 (2011; Zbl 1235.30031) Full Text: arXiv Link
Peña, Dixan Peña; Sommen, Frank Fueter’s theorem for the biregular functions of Clifford analysis. arXiv:1112.3746 Preprint, arXiv:1112.3746 [math.CV] (2011). MSC: 30G35 BibTeX Cite \textit{D. P. Peña} and \textit{F. Sommen}, ``Fueter's theorem for the biregular functions of Clifford analysis'', Preprint, arXiv:1112.3746 [math.CV] (2011) Full Text: arXiv OA License
Peña, Dixan Peña On a sequence of monogenic polynomials satisfying the Appell condition whose first term is a non-constant function. arXiv:1102.1833 Preprint, arXiv:1102.1833 [math.CV] (2011). MSC: 12E10 30G35 BibTeX Cite \textit{D. P. Peña}, ``On a sequence of monogenic polynomials satisfying the Appell condition whose first term is a non-constant function'', Preprint, arXiv:1102.1833 [math.CV] (2011) Full Text: arXiv OA License
Reyes, Juan Bory; Malonek, Helmuth R.; Peña Peña, Dixan; Sommen, Frank A higher order integral representation formula in isotonic Clifford analysis. (English) Zbl 1288.30056 Ruzhansky, Michael (ed.) et al., Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13–18, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4313-16-2/hbk; 978-981-4313-17-9/ebook). 173-179 (2010). MSC: 30G35 PDFBibTeX XMLCite \textit{J. B. Reyes} et al., in: Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13--18, 2009. Hackensack, NJ: World Scientific. 173--179 (2010; Zbl 1288.30056) Full Text: DOI
Malonek, Helmuth R.; Peña Peña, Dixan; Sommen, Frank Fischer decomposition by inframonogenic functions. (English) Zbl 1217.30047 Cubo 12, No. 2, 189-197 (2010). Reviewer: Klaus Habetha (Aachen) MSC: 30G35 31B30 35G05 PDFBibTeX XMLCite \textit{H. R. Malonek} et al., Cubo 12, No. 2, 189--197 (2010; Zbl 1217.30047) Full Text: DOI arXiv
Peña Peña, Dixan; Sommen, Frank A note on the Fueter theorem. (English) Zbl 1207.30075 Adv. Appl. Clifford Algebr. 20, No. 2, 379-391 (2010). Reviewer: Klaus Habetha (Aachen) MSC: 30G35 30A05 PDFBibTeX XMLCite \textit{D. Peña Peña} and \textit{F. Sommen}, Adv. Appl. Clifford Algebr. 20, No. 2, 379--391 (2010; Zbl 1207.30075) Full Text: DOI
Blaya, Ricardo Abreu; Reyes, Juan Bory; Peña, Dixan Peña; Sommen, Frank Holomorphic extension theorems in Lipschitz domains of \({\mathbb{C}}^{2}\). (English) Zbl 1193.30068 Adv. Appl. Clifford Algebr. 20, No. 1, 1-12 (2010). Reviewer: Nele De Schepper (Gent) MSC: 30G35 PDFBibTeX XMLCite \textit{R. A. Blaya} et al., Adv. Appl. Clifford Algebr. 20, No. 1, 1--12 (2010; Zbl 1193.30068) Full Text: DOI
Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan; Sommen, Frank Biregular extendability via isotonic Clifford analysis. (English) Zbl 1195.30067 Math. Methods Appl. Sci. 33, No. 4, 384-393 (2010). Reviewer: George Csordas (Honolulu) MSC: 30G35 PDFBibTeX XMLCite \textit{R. Abreu Blaya} et al., Math. Methods Appl. Sci. 33, No. 4, 384--393 (2010; Zbl 1195.30067) Full Text: DOI
Peña, Dixan Peña; Sommen, Frank Fueter’s theorem: the saga continues. (English) Zbl 1183.30056 J. Math. Anal. Appl. 365, No. 1, 29-35 (2010). MSC: 30G35 PDFBibTeX XMLCite \textit{D. P. Peña} and \textit{F. Sommen}, J. Math. Anal. Appl. 365, No. 1, 29--35 (2010; Zbl 1183.30056) Full Text: DOI arXiv
Abreu Blaya, Ricardo; Reyes, Juan Bory; Peña Peña, Dixan; Sommen, Frank Criteria for monogenicity of Clifford-algebra-valued functions. (English) Zbl 1180.30051 Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13–18, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-732-5/hbk). 167-174 (2009). MSC: 30G35 PDFBibTeX XMLCite \textit{R. Abreu Blaya} et al., in: Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13--18, 2007. Hackensack, NJ: World Scientific. 167--174 (2009; Zbl 1180.30051)
De Knock, Bram; Peña, Dixan Peña; Sommen, Frank On the CK-extension for a special overdetermined system in complex Clifford analysis. (English) Zbl 1168.30327 Sabadini, Irene (ed.) et al., Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9892-7/hbk; 978-3-7643-9893-4/e-book). Trends in Mathematics, 115-124 (2009). MSC: 30G35 PDFBibTeX XMLCite \textit{B. De Knock} et al., in: Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13--18, 2007. Basel: Birkhäuser. 115--124 (2009; Zbl 1168.30327) Full Text: DOI
Peña, Dixan Peña; Sommen, Frank Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution. (English) Zbl 1168.30025 Complex Var. Elliptic Equ. 54, No. 5, 429-440 (2009). MSC: 30G35 PDFBibTeX XMLCite \textit{D. P. Peña} and \textit{F. Sommen}, Complex Var. Elliptic Equ. 54, No. 5, 429--440 (2009; Zbl 1168.30025) Full Text: DOI arXiv
Peña, Dixan Peña; Sommen, Frank Special power series expansions of monogenic functions around surfaces of codimension two. (English) Zbl 1182.30089 Math. Methods Appl. Sci. 32, No. 6, 631-639 (2009). Reviewer: Regina Almeida (Vila Real) MSC: 30G35 PDFBibTeX XMLCite \textit{D. P. Peña} and \textit{F. Sommen}, Math. Methods Appl. Sci. 32, No. 6, 631--639 (2009; Zbl 1182.30089) Full Text: DOI
Peña, D. Peña; Sommen, F. On steering monogenic functions. (English) Zbl 1182.30088 Commun. Math. Anal. 4, No. 2, 61-66 (2008). Reviewer: Regina Almeida (Vila Real) MSC: 30G35 PDFBibTeX XMLCite \textit{D. P. Peña} and \textit{F. Sommen}, Commun. Math. Anal. 4, No. 2, 61--66 (2008; Zbl 1182.30088)
Blaya, Ricardo Abreu; Reyes, Juan Bory; Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Peña, Dixan Peña; Sommen, Frank Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces. (English) Zbl 1180.30052 Bound. Value Probl. 2008, Article ID 425256, 16 p. (2008). Reviewer: Vladislav V. Kravchenko (Queretaro) MSC: 30G35 PDFBibTeX XMLCite \textit{R. A. Blaya} et al., Bound. Value Probl. 2008, Article ID 425256, 16 p. (2008; Zbl 1180.30052) Full Text: DOI EuDML
Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Peña-Peña, Dixan The Bochner-Martinelli transform with a continuous density: Davydov’s theorem. (English) Zbl 1153.32006 Integral Transforms Spec. Funct. 19, No. 9, 613-620 (2008). MSC: 32A26 32A10 30G35 PDFBibTeX XMLCite \textit{R. Abreu-Blaya} et al., Integral Transforms Spec. Funct. 19, No. 9, 613--620 (2008; Zbl 1153.32006) Full Text: DOI
Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan; Sommen, Frank A boundary value problem for Hermitian monogenic functions. (English) Zbl 1154.30036 Bound. Value Probl. 2008, Article ID 385874, 7 p. (2008). MSC: 30G35 PDFBibTeX XMLCite \textit{R. Abreu Blaya} et al., Bound. Value Probl. 2008, Article ID 385874, 7 p. (2008; Zbl 1154.30036) Full Text: DOI EuDML
Abreu-Blaya, R.; Bory-Reyes, J.; Moreno-García, T.; Peña-Peña, D. Laplacian decomposition of vector fields on fractal surfaces. (English) Zbl 1132.30353 Math. Methods Appl. Sci. 31, No. 7, 849-857 (2008). MSC: 30G35 PDFBibTeX XMLCite \textit{R. Abreu-Blaya} et al., Math. Methods Appl. Sci. 31, No. 7, 849--857 (2008; Zbl 1132.30353) Full Text: DOI
Peña Peña, Dixan; Sommen, Frank Some power series expansions for monogenic functions. (English) Zbl 1142.30019 Comput. Methods Funct. Theory 7, No. 1, 265-275 (2007). Reviewer: Piwen Yang (Sichuan) MSC: 30G35 PDFBibTeX XMLCite \textit{D. Peña Peña} and \textit{F. Sommen}, Comput. Methods Funct. Theory 7, No. 1, 265--275 (2007; Zbl 1142.30019) Full Text: DOI
Reyes, Juan Bory; Peña Peña, Dixan; Sommen, Frank A Davydov theorem for the isotonic Cauchy transform. (English) Zbl 1128.30018 J. Anal. Appl. 5, No. 2, 109-121 (2007). MSC: 30G35 32A26 PDFBibTeX XMLCite \textit{J. B. Reyes} et al., J. Anal. Appl. 5, No. 2, 109--121 (2007; Zbl 1128.30018)
Peña-Peña, Dixan; Sabadini, Irene; Sommen, Frank Quaternionic Clifford analysis: the Hermitian setting. (English) Zbl 1211.30057 Complex Anal. Oper. Theory 1, No. 1, 97-113 (2007). Reviewer: Klaus Habetha (Aachen) MSC: 30G35 32W50 32A25 PDFBibTeX XMLCite \textit{D. Peña-Peña} et al., Complex Anal. Oper. Theory 1, No. 1, 97--113 (2007; Zbl 1211.30057) Full Text: DOI
Sommen, Frank; Peña-Peña, Dixan A Martinelli-Bochner formula for the Hermitian Dirac equation. (English) Zbl 1117.30040 Math. Methods Appl. Sci. 30, No. 9, 1049-1055 (2007). Reviewer: Piwen Yang (Sichuan) MSC: 30G35 30-XX 32A25 PDFBibTeX XMLCite \textit{F. Sommen} and \textit{D. Peña-Peña}, Math. Methods Appl. Sci. 30, No. 9, 1049--1055 (2007; Zbl 1117.30040) Full Text: DOI
Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan; Sommen, Frank The isotonic Cauchy transform. (English) Zbl 1113.30042 Adv. Appl. Clifford Algebr. 17, No. 2, 145-152 (2007). MSC: 30G35 PDFBibTeX XMLCite \textit{R. Abreu Blaya} et al., Adv. Appl. Clifford Algebr. 17, No. 2, 145--152 (2007; Zbl 1113.30042) Full Text: DOI Link
Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Peña-Peña, Dixan Jump problem and removable singularities for monogenic functions. (English) Zbl 1211.30056 J. Geom. Anal. 17, No. 1, 1-13 (2007). Reviewer: Piwen Yang (Sichuan) MSC: 30G35 30E20 30E25 32D20 PDFBibTeX XMLCite \textit{R. Abreu-Blaya} et al., J. Geom. Anal. 17, No. 1, 1--13 (2007; Zbl 1211.30056) Full Text: DOI
Sommen, Frank; Peña, Dixan Peña Martinelli-Bochner formula using Clifford analysis. (English) Zbl 1114.30052 Arch. Math. 88, No. 4, 358-363 (2007). Reviewer: Michael Shapiro (Mexico) MSC: 30G35 32A25 58A10 PDFBibTeX XMLCite \textit{F. Sommen} and \textit{D. P. Peña}, Arch. Math. 88, No. 4, 358--363 (2007; Zbl 1114.30052) Full Text: DOI
Peǹa Peña, Dixan; Sommen, Frank A generalization of Fueter’s theorem. (English) Zbl 1122.30031 Result. Math. 49, No. 3-4, 301-311 (2006). Reviewer: Michael Shapiro (Mexico) MSC: 30G35 PDFBibTeX XMLCite \textit{D. Peǹa Peña} and \textit{F. Sommen}, Result. Math. 49, No. 3--4, 301--311 (2006; Zbl 1122.30031) Full Text: DOI
Peña Peña, Dixan; Qian, Tao; Sommen, Frank An alternative proof of Fueter’s theorem. (English) Zbl 1117.30039 Complex Var. Elliptic Equ. 51, No. 8-11, 913-922 (2006). Reviewer: Regina Almeida (Vila Real) MSC: 30G35 32A25 42B20 PDFBibTeX XMLCite \textit{D. Peña Peña} et al., Complex Var. Elliptic Equ. 51, No. 8--11, 913--922 (2006; Zbl 1117.30039) Full Text: DOI
Abreu-Blaya, R.; Bory-Reyes, J.; Moreno-García, T.; Peña-Peña, D. Weighted Cauchy transforms in Clifford analysis. (English) Zbl 1104.30023 Complex Var. Elliptic Equ. 51, No. 5-6, 397-406 (2006). MSC: 30E20 30E25 30G35 PDFBibTeX XMLCite \textit{R. Abreu-Blaya} et al., Complex Var. Elliptic Equ. 51, No. 5--6, 397--406 (2006; Zbl 1104.30023) Full Text: DOI
Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan Riemann boundary value problem for hyperanalytic functions. (English) Zbl 1091.30045 Int. J. Math. Math. Sci. 2005, No. 17, 2821-2840 (2005). Reviewer: Michael Shapiro (Mexico) MSC: 30G35 PDFBibTeX XMLCite \textit{R. Abreu Blaya} et al., Int. J. Math. Math. Sci. 2005, No. 17, 2821--2840 (2005; Zbl 1091.30045) Full Text: DOI EuDML
Peña-Peña, Dixan; Bory-Reyes, Juan On the Riemann problem in Clifford analysis. (Spanish. English summary) Zbl 1218.30141 Rev. Cienc. Mat. 21, No. 2, 138-151 (2003). MSC: 30G35 30E20 30E25 PDFBibTeX XMLCite \textit{D. Peña-Peña} and \textit{J. Bory-Reyes}, Rev. Cienc. Mat. 21, No. 2, 138--151 (2003; Zbl 1218.30141)
Abreu Blaya, Ricardo; Peña Peña, Dixan; Bory Reyes, Juan Clifford Cauchy type integrals on Ahlfors-David regular surfaces in \(\mathbb R^{m+1}\). (English) Zbl 1100.30032 Adv. Appl. Clifford Algebr. 13, No. 2, 133-156 (2003). MSC: 30E20 30E25 30G35 PDFBibTeX XMLCite \textit{R. Abreu Blaya} et al., Adv. Appl. Clifford Algebr. 13, No. 2, 133--156 (2003; Zbl 1100.30032) Full Text: DOI
Abreu Blaya, Ricardo; Peña Peña, Dixan; Bory Reyes, Juan Conjugate hyperharmonic functions and Cauchy type integrals in Douglis analysis. (English) Zbl 1053.30041 Complex Variables, Theory Appl. 48, No. 12, 1023-1039 (2003). Reviewer: Zbigniew Binderman (Warszawa) MSC: 30G35 47G10 35J55 45E05 PDFBibTeX XMLCite \textit{R. Abreu Blaya} et al., Complex Variables, Theory Appl. 48, No. 12, 1023--1039 (2003; Zbl 1053.30041) Full Text: DOI
Peña, Dixan Peña; Bory Reyes, Juan Riemann boundary value problem on a regular open curve. (English) Zbl 1059.30028 J. Nat. Geom. 22, No. 1-2, 1-18 (2002). Reviewer: Michael Shapiro (Mexico) MSC: 30E25 30G35 35J55 35J45 PDFBibTeX XMLCite \textit{D. P. Peña} and \textit{J. Bory Reyes}, J. Nat. Geom. 22, No. 1--2, 1--18 (2002; Zbl 1059.30028)