Edit Profile (opens in new tab) Sommen, Franciscus (b. 1956 d. 2023) Co-Author Distance Author ID: sommen.franciscus Published as: Sommen, F.; Sommen, Frank; Sommen, Franciscus; Sommen, Frank C.; Sommen, Fransiscus; Sommen, F. C. more...less Homepage: https://biblio.ugent.be/person/801000476064 External Links: MGP · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 299 Publications since 1979, including 4 Books and 4 Additional arXiv Preprints 6 Contributions as Editor Biographic References: 1 Publication Co-Authors: 64 Co-Authors with 249 Joint Publications 934 Co-Co-Authors all top 5 Co-Authors 53 single-authored 55 Brackx, Fred F. 37 De Schepper, Hennie 35 Peña Peña, Dixan 34 Sabadini, Irene 28 Bory Reyes, Juan 23 Delanghe, Richard 22 Abreu-Blaya, Ricardo 19 Eelbode, David 18 De Bie, Hendrik 14 Adán, Alí Guzmán 13 Kähler, Uwe 12 De Schepper, Nele 11 Colombo, Fabrizio 10 Cerejeiras, Paula 10 De Ridder, Hilde 10 Soucek, Vladimir 8 Qian, Tao 8 Struppa, Daniele Carlo 7 van Acker, Nadine 6 Bernstein, Swanhild 6 Coulembier, Kevin 6 De Knock, Bram 6 Shapiro, Michael V. 6 Van Lancker, Peter 5 Raeymaekers, Tim 4 Bureš, Jarolím 4 Orelma, Heikki 4 Rocha-Chávez, Reynaldo 3 Common, Alan K. 3 Hu, Ren 3 Kou, Kit-Ian 3 Ku, Min 3 Malonek, Helmuth Robert 3 Mertens, Teppo 3 van de Voorde, Liesbet 2 Bernardes, Gil 2 Constales, Denis 2 Ferreira, Milton 2 He, Fuli 2 Moreno García, Tania 2 Vâjiac, Adrian I. 2 Wutzig, Michael 2 Xu, Zhenyuan 2 Yang, Yan 1 Baaske, Franka 1 Denecker, Koen 1 Ebert, Svend 1 Eriksson, Sirkka-Liisa 1 Faustino, Nelson José Rodrigues 1 Gentili, Graziano 1 Hempfling, Thomas 1 Hestenes, David Orlin 1 Jancewicz, Bernard 1 Jank, Gerhard 1 Káhle, U. 1 Massé, A. 1 McIntosh, Alan 1 Schaeben, Helmut 1 Schepper, Nele De 1 Vajiac, Mihaela B. 1 Van Overloop, Jeroen 1 Vieira, Nelson 1 Vindas, Jasson 1 Wang, Jinxun all top 5 Serials 26 Advances in Applied Clifford Algebras 17 Mathematical Methods in the Applied Sciences 17 Complex Analysis and Operator Theory 15 Journal of Mathematical Analysis and Applications 12 Complex Variables. Theory and Application 7 Journal of Natural Geometry 7 Complex Variables and Elliptic Equations 6 Zeitschrift für Analysis und ihre Anwendungen 5 Results in Mathematics 5 Bulletin of the Belgian Mathematical Society - Simon Stevin 5 Integral Transforms and Special Functions 5 Communications on Pure and Applied Analysis 5 Journal of Physics A: Mathematical and Theoretical 5 Trends in Mathematics 4 Journal of Mathematical Physics 4 Journal of Geometry and Physics 4 Applied Mathematics and Computation 4 Simon Stevin 4 The Journal of Fourier Analysis and Applications 4 Boundary Value Problems 4 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Applicable Analysis 3 Archiv der Mathematik 3 Journal of Approximation Theory 3 Mathematische Zeitschrift 3 Acta Mathematica Sinica. English Series 3 Cubo 2 Bulletin de la Société Royale des Sciences de Liège 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Functional Analysis 2 Mathematische Nachrichten 2 Tokyo Journal of Mathematics 2 Bulletin de la Société Matheḿatique de Belgique. Série B 2 The Journal of Geometric Analysis 2 Experimental Mathematics 2 Computational Methods and Function Theory 2 Bulletin of the Brazilian Mathematical Society. New Series 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Arkiv för Matematik 1 Annales Polonici Mathematici 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematical Journal of Okayama University 1 Portugaliae Mathematica 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Scientific Papers of the College of Arts and Sciences 1 Annals of Global Analysis and Geometry 1 Constructive Approximation 1 Annals of Physics 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 Journal of Mathematical Imaging and Vision 1 Methods and Applications of Analysis 1 Journal of Difference Equations and Applications 1 Moscow Mathematical Journal 1 Journal of Analysis and Applications 1 Analysis and Applications (Singapore) 1 Mathematics and its Applications (Dordrecht) 1 Seminari di Geometria. Universitá degli Studi di Bologna 1 Chapman & Hall/CRC Research Notes in Mathematics 1 Progress in Mathematical Physics 1 Communications in Mathematical Analysis 1 Springer INdAM Series 1 Research Notes in Mathematics (San Francisco) all top 5 Fields 254 Functions of a complex variable (30-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 38 Partial differential equations (35-XX) 38 Functional analysis (46-XX) 34 Global analysis, analysis on manifolds (58-XX) 32 Integral transforms, operational calculus (44-XX) 27 Several complex variables and analytic spaces (32-XX) 26 Special functions (33-XX) 13 Differential geometry (53-XX) 13 Quantum theory (81-XX) 8 Difference and functional equations (39-XX) 7 Potential theory (31-XX) 7 Numerical analysis (65-XX) 6 Operator theory (47-XX) 5 General and overarching topics; collections (00-XX) 4 Topological groups, Lie groups (22-XX) 3 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 249 Publications have been cited 3,711 times in 1,335 Documents Cited by ▼ Year ▼ Clifford analysis. Zbl 0529.30001 Brackx, F.; Delanghe, R.; Sommen, F. 675 1982 Clifford algebra and spinor-valued functions. A function theory for the Dirac operator. Related REDUCE software by F. Brackx and D. Constales. Zbl 0747.53001 Delanghe, R.; Sommen, F.; Souček, V. 432 1992 Analysis of Dirac systems and computational algebra. Zbl 1064.30049 Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C. 154 2004 Fundaments of Hermitean Clifford analysis. I: Complex structure. Zbl 1131.30019 Brackx, Fred; Bureš, Jarolím; De Schepper, Hennie; Eelbode, David; Sommen, Frank; Souček, Vladímir 64 2007 Fundaments of Hermitean Clifford analysis. II: Splitting of \(h\)-monogenic equations. Zbl 1144.30019 Brackx, F.; Bureš, J.; de Schepper, H.; Eelbode, D.; Sommen, F.; Souček, V. 59 2007 The Clifford-Fourier transform. Zbl 1122.42015 Brackx, Fred; De Schepper, Nele; Sommen, Frank 57 2005 Special functions in Clifford analysis and axial symmetry. Zbl 0634.30042 Sommen, F. 57 1988 The Hermitian Clifford analysis toolbox. Zbl 1177.30064 Brackx, Fred; De Schepper, Hennie; Sommen, Frank 55 2008 The Fueter mapping theorem in integral form and the \(\mathcal F\)-functional calculus. Zbl 1225.47019 Colombo, Fabrizio; Sabadini, Irene; Sommen, Frank 54 2010 Hermitian Clifford analysis and resolutions. Zbl 1013.30033 Sabadini, Irene; Sommen, Frank 53 2002 Lie groups as spin groups. Zbl 0810.15014 Doran, C.; Hestenes, D.; Sommen, F.; Van Acker, N. 50 1993 Rarita-Schwinger type operators in Clifford analysis. Zbl 1078.30041 Bureš, J.; Sommen, F.; Souček, V.; van Lancker, P. 43 2001 Spherical harmonics and integration in superspace. Zbl 1143.30315 De Bie, H.; Sommen, F. 41 2007 On a generalization of Fueter’s theorem. Zbl 1030.30039 Sommen, F. 41 2000 Integral theorems for functions and differential forms in \(C^m\). Zbl 0991.32002 Rocha-Chávez, Reynaldo; Shapiro, Michael; Sommen, Franciscus 39 2002 Models for irreducible representations of Spin\((m)\). Zbl 1221.22016 van Lancker, P.; Sommen, Frank; Constales, D. 36 2001 The two-dimensional Clifford-Fourier transform. Zbl 1122.42016 Brackx, Fred; De Schepper, Nele; Sommen, Frank 33 2006 Fischer decomposition by inframonogenic functions. Zbl 1217.30047 Malonek, Helmuth R.; Peña Peña, Dixan; Sommen, Frank 32 2010 Generalizations of Fueter’s theorem. Zbl 1079.30066 Kou, K. I.; Qian, T.; Sommen, F. 30 2002 Discrete Dirac operators in Clifford analysis. Zbl 1208.30046 Faustino, Nelson; Kähler, Uwe; Sommen, Frank 30 2007 On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis. Zbl 1182.30081 Brackx, F.; De Knock, B.; De Schepper, H.; Sommen, F. 30 2009 Parabolic Dirac operators and the Navier-Stokes equations over time-varying domains. Zbl 1082.30039 Cerejeiras, P.; Káhle, U.; Sommen, F. 29 2005 Symmetric analogues of Rarita-Schwinger equations. Zbl 1025.58013 Bureš, J.; Sommen, F.; Souček, V.; Van Lancker, P. 29 2002 The inverse Fueter mapping theorem. Zbl 1258.30022 Colombo, Fabrizio; Sabadini, Irene; Sommen, Frank 28 2011 Plane elliptic systems and monogenic functions in symmetric domains. Zbl 0564.30036 Sommen, F. 27 1984 A Cauchy-Kowalevski theorem for inframonogenic functions. Zbl 1235.30031 Malonek, Helmuth R.; Peña Peña, Dixan; Sommen, Frank 27 2011 Discrete function theory based on skew Weyl relations. Zbl 1201.30062 De Ridder, Hilde; De Schepper, Hennie; Kähler, Uwe; Sommen, Frank 26 2010 Complexes of Dirac operators in Clifford algebras. Zbl 1078.30045 Sabadini, Irene; Struppa, Daniele C.; Sommen, Frank; Van Lancker, Peter 25 2002 Spherical monogenic functions and analytic functionals on the unit sphere. Zbl 0481.30040 Sommen, Fransiscus 24 1981 Correct rules for Clifford calculus on superspace. Zbl 1129.30034 De Bie, Hendrik; Sommen, Frank 24 2007 On conjugate harmonic functions in Euclidean space. Zbl 1056.30049 Brackx, F. F.; Delanghe, R.; Sommen, F. C. 24 2002 A product and an exponential function in hypercomplex function theory. Zbl 0454.30039 Sommen, F. 23 1981 The class of Clifford-Fourier transforms. Zbl 1237.30017 De Bie, Hendrik; De Schepper, Nele; Sommen, Frank 21 2011 Quaternionic Clifford analysis: the Hermitian setting. Zbl 1211.30057 Peña-Peña, Dixan; Sabadini, Irene; Sommen, Frank 20 2007 An alternative proof of Fueter’s theorem. Zbl 1117.30039 Peña Peña, Dixan; Qian, Tao; Sommen, Frank 20 2006 Hypercomplex Fourier and Laplace transforms. I. Zbl 0472.46032 Sommen, F. 20 1982 Spherical harmonics and integration in superspace: II. Zbl 1179.30053 De Bie, H.; Eelbode, D.; Sommen, F. 20 2009 Cauchy integral formulae in quaternionic Hermitean Clifford analysis. Zbl 1275.30017 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 20 2012 Differential forms and/or multi-vector functions. Zbl 1105.58002 Brackx, F.; Delanghe, R.; Sommen, F. 19 2005 Deriving harmonic functions in higher dimensional spaces. Zbl 1052.30055 Qian, T.; Sommen, F. 19 2003 Some connections between Clifford analysis and complex analysis. Zbl 0464.30039 Sommen, F. 18 1982 A theoretical framework for wavelet analysis in a Hermitean Clifford setting. Zbl 1149.30036 Brackx, Fred; De Schepper, Hennie; Sommen, Frank 18 2007 Integration in superspace using distribution theory. Zbl 1187.58011 Coulembier, K.; de Bie, H.; Sommen, F. 18 2009 Discrete Clifford analysis: a germ of function theory. Zbl 1173.30034 Brackx, F.; De Schepper, H.; Sommen, F.; Van de Voorde, L. 18 2009 A Clifford analysis approach to superspace. Zbl 1132.81017 De Bie, H.; Sommen, F. 17 2007 Segal-Bargmann-Fock modules of monogenic functions. Zbl 1377.30043 Peña Peña, Dixan; Sabadini, Irene; Sommen, Franciscus 17 2017 Clifford analysis and integral geometry. Zbl 0765.53073 Sommen, F. 16 1992 Clifford-Hermite wavelets in Euclidean space. Zbl 0961.42021 Brackx, F.; Sommen, F. 16 2000 Discrete Hardy spaces. Zbl 1308.44002 Cerejeiras, Paula; Kähler, Uwe; Ku, Min; Sommen, Frank 16 2014 The inverse Fueter mapping theorem in integral form using spherical monogenics. Zbl 1341.30042 Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 16 2013 Fundamental solutions for operators which are polynomials in the Dirac operator. Zbl 0769.35053 Sommen, F.; Xu, Zhenyuan 15 1992 Spherical means and distributions in Clifford analysis. Zbl 1058.30043 Brackx, Fred; Delanghe, Richard; Sommen, Frank 15 2004 An algebra of abstract vector variables. Zbl 0886.15037 Sommen, F. 15 1997 Riemann-Hilbert problems for null-solutions to iterated generalized Cauchy-Riemann equations in axially symmetric domains. Zbl 1443.30018 He, Fuli; Ku, Min; Kähler, Uwe; Sommen, Frank; Bernstein, Swanhild 15 2016 Axial monogenic functions from holomorphic functions. Zbl 0802.30001 Common, A. K.; Sommen, F. 14 1993 Fundamental solutions for the super Laplace and Dirac operators and all their natural powers. Zbl 1143.30022 De Bie, H.; Sommen, F. 14 2008 Boundary value problems associated to a Hermitian Helmholtz equation. Zbl 1269.30050 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 14 2012 A basic framework for discrete Clifford analysis. Zbl 1186.30044 de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet 14 2009 A Martinelli-Bochner formula for the Hermitian Dirac equation. Zbl 1117.30040 Sommen, Frank; Peña-Peña, Dixan 13 2007 Spherical means, distributions and convolution operators in Clifford analysis. Zbl 1056.30050 Brackx, F.; Delanghe, R.; Sommen, F. 13 2003 Clifford analysis, biaxial symmetry and pseudoanalytic functions. Zbl 0703.30044 Jank, G.; Sommen, F. 13 1990 Fueter polynomials in discrete Clifford analysis. Zbl 1258.30024 De Ridder, H.; De Schepper, H.; Sommen, F. 13 2012 Hypercomplex Fourier and Laplace transforms. II. Zbl 0529.46030 Sommen, F. 12 1983 Monogenic differential operators. Zbl 0765.30033 Sommen, F.; Van Acker, N. 12 1992 The Clifford-Gegenbauer polynomials and the associated continuous wavelet transform. Zbl 1062.30057 Brackx, Fred; de Schepper, Nele; Sommen, Frank 12 2004 Clifford analysis in two and several vector variables. Zbl 1054.30050 Sommen, F. 12 1999 Riemann-Hilbert problems for monogenic functions in axially symmetric domains. Zbl 1332.30079 He, Fuli; Ku, Min; Kähler, Uwe; Sommen, Frank; Bernstein, Swanhild 12 2016 Higher order Borel-Pompeiu representations in Clifford analysis. Zbl 1355.30044 Bory Reyes, Juan; De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank 12 2016 Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces. Zbl 1180.30052 Blaya, Ricardo Abreu; Reyes, Juan Bory; Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Peña, Dixan Peña; Sommen, Frank 12 2008 An extension of the Radon transform to Clifford analysis. Zbl 0628.30046 Sommen, F. 12 1987 Cauchy-Kowalevski extensions and monogenic plane waves using spherical monogenics. Zbl 1273.30040 De Schepper, N.; Sommen, F. 12 2013 Phase derivative of monogenic signals in higher dimensional spaces. Zbl 1275.30027 Yang, Yan; Qian, Tao; Sommen, Frank 12 2012 Twisted plane wave expansions using hypercomplex methods. Zbl 1288.30051 Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C. 12 2014 Martinelli-Bochner formula using Clifford analysis. Zbl 1114.30052 Sommen, Frank; Peña, Dixan Peña 11 2007 Spherical monogenics on the Lie sphere. Zbl 0789.22021 Sommen, F. 11 1990 Explicit solutions of the inhomogeneous Dirac equation. Zbl 0883.30041 Sommen, Frank; Jancewicz, Bernard 11 1997 Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution. Zbl 1168.30025 Peña, Dixan Peña; Sommen, Frank 11 2009 Microfunctions with values in a Clifford algebra. II. Zbl 0649.30040 Sommen, Franciscus 11 1986 Fischer decompositions in superspace. Zbl 1168.58004 De Bie, H.; Sommen, F. 11 2008 A boundary value problem for Hermitian monogenic functions. Zbl 1154.30036 Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan; Sommen, Frank 11 2008 The generalized Clifford-Hermite continuous wavelet transform. Zbl 1221.42058 Brackx, F.; Sommen, Frank 11 2001 Orthosymplectically invariant functions in superspace. Zbl 1312.46065 Coulembier, K.; De Bie, H.; Sommen, F. 11 2010 On solutions of a discretized heat equation in discrete Clifford analysis. Zbl 1283.39002 Baaske, F.; Bernstein, S.; De Ridder, H.; Sommen, F. 11 2014 Orthogonality of Hermite polynomials in superspace and Mehler type formulae. Zbl 1233.33004 Coulembier, Kevin; De Bie, Hendrik; Sommen, Frank 11 2011 The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis. Zbl 1255.30050 De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank 11 2011 The Dirac complex on abstract vector variables: megaforms. Zbl 1078.30044 Sabadini, Irene; Sommen, Frank; Struppa, Daniele C. 10 2003 Hermite and Gegenbauer polynomials in superspace using Clifford analysis. Zbl 1152.30052 De Bie, H.; Sommen, F. 10 2007 Spin actions in Euclidean and Hermitian Clifford analysis in superspace. Zbl 1375.30072 De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank 10 2018 Discrete Clifford analysis: an overview. Zbl 1171.30020 Brackx, Fred; de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet 10 2009 Plane wave decompositions of monogenic functions. Zbl 0673.30038 Sommen, F. 10 1988 The inverse Radon transform and the fundamental solution of the hyperbolic Dirac equation. Zbl 1058.30044 Eelbode, D.; Sommen, F. 9 2004 Martinelli-Bochner type formulae in complex Clifford analysis. Zbl 0651.30027 Sommen, F. 9 1987 Fueter’s theorem: the saga continues. Zbl 1183.30056 Peña, Dixan Peña; Sommen, Frank 9 2010 An extension of Clifford analysis towards super-symmetry. Zbl 0967.30029 Sommen, Frank 9 2000 A Cauchy integral formula in superspace. Zbl 1179.30054 De Bie, H.; Sommen, F. 9 2009 Taylor series expansion in discrete Clifford analysis. Zbl 1292.30021 De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank 9 2014 A generalization of Fueter’s theorem. Zbl 1122.30031 Peǹa Peña, Dixan; Sommen, Frank 8 2006 The Clifford-Laguerre continuous wavelet transform. Zbl 1077.42026 Brackx, Fred; De Schepper, Nele; Sommen, Frank 8 2004 Reproducing kernels for polynomial null-solutions of Dirac operators. Zbl 1354.30044 De Bie, H.; Sommen, F.; Wutzig, M. 8 2016 Hermitean Clifford-Hermite polynomials. Zbl 1134.30039 Brackx, F.; De Schepper, H.; De Schepper, N.; Sommen, F. 8 2007 The spin group in superspace. Zbl 1462.30094 De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank 2 2021 Discrete Weierstrass transform in discrete Hermitian Clifford analysis. Zbl 1475.44005 Massé, A.; Sommen, F.; De Ridder, H.; Raeymaekers, T. 1 2021 Pizzetti and Cauchy formulae for higher dimensional surfaces: a distributional approach. Zbl 1442.58008 Guzmán Adán, Alí; Sommen, Frank 2 2020 Radon-type transforms for holomorphic functions in the Lie ball. Zbl 1421.30065 Sabadini, Irene; Sommen, Franciscus 4 2019 Hypermonogenic solutions and plane waves of the Dirac operator in \(\mathbb{R}^p \times \mathbb{R}^q\). Zbl 1428.30051 Adán, Alí Guzmán; Orelma, Heikki; Sommen, Franciscus 1 2019 Hypermonogenic plane wave solutions of the Dirac equation in superspace. Zbl 1427.30072 Adán, Alí Guzmán; Orelma, Heikki; Sommen, Frank 1 2019 Spin actions in Euclidean and Hermitian Clifford analysis in superspace. Zbl 1375.30072 De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank 10 2018 Distributions and integration in superspace. Zbl 1397.58003 Guzmán Adán, Alí; Sommen, Franciscus 6 2018 Hermitian Clifford analysis on superspace. Zbl 1394.30034 De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank 2 2018 Segal-Bargmann-Fock modules of monogenic functions. Zbl 1377.30043 Peña Peña, Dixan; Sabadini, Irene; Sommen, Franciscus 17 2017 On the Bargmann-Radon transform in the monogenic setting. Zbl 1376.30036 Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 7 2017 Fueter’s theorem for monogenic functions in biaxial symmetric domains. Zbl 1383.30016 Peña Peña, Dixan; Sabadini, Irene; Sommen, Franciscus 6 2017 The radial algebra as an abstract framework for orthogonal and Hermitian Clifford analysis. Zbl 1375.30071 De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank 4 2017 On a mixed Fischer decomposition in Clifford analysis. Zbl 1364.30055 Bory Reyes, Juan; De Schepper, Hennie; Guzmán Adán, Alí; Sommen, Frank 3 2017 On the radial derivative of the delta distribution. Zbl 1380.46032 Brackx, Fred; Sommen, Frank; Vindas, Jasson 2 2017 On two-sided monogenic functions of axial type. Zbl 1376.30038 Peña, Dixan Peña; Sabadini, Irene; Sommen, Frank 2 2017 A Cauchy kernel for the Hermitian submonogenic system. Zbl 1406.30016 Colombo, Fabrizio; Peña, Dixan Peña; Sommen, Frank 1 2017 Riemann-Hilbert problems for null-solutions to iterated generalized Cauchy-Riemann equations in axially symmetric domains. Zbl 1443.30018 He, Fuli; Ku, Min; Kähler, Uwe; Sommen, Frank; Bernstein, Swanhild 15 2016 Riemann-Hilbert problems for monogenic functions in axially symmetric domains. Zbl 1332.30079 He, Fuli; Ku, Min; Kähler, Uwe; Sommen, Frank; Bernstein, Swanhild 12 2016 Higher order Borel-Pompeiu representations in Clifford analysis. Zbl 1355.30044 Bory Reyes, Juan; De Schepper, Hennie; Adán, Alí Guzmán; Sommen, Frank 12 2016 Reproducing kernels for polynomial null-solutions of Dirac operators. Zbl 1354.30044 De Bie, H.; Sommen, F.; Wutzig, M. 8 2016 On the Szegő-Radon projection of monogenic functions. Zbl 1338.44003 Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 8 2016 Vekua systems in hyperbolic harmonic analysis. Zbl 1332.30076 Eriksson, Sirkka-Liisa; Orelma, Heikki; Sommen, Frank 5 2016 A Fourier-Borel transform for monogenic functionals. Zbl 1406.30018 Sabadini, Irene; Sommen, Franciscus 4 2016 Rotations in discrete Clifford analysis. Zbl 1410.39035 De Ridder, H.; Raeymaekers, T.; Sommen, F. 3 2016 Modern trends in hypercomplex analysis. Selected papers presented at the session on Clifford and quaternionic analysis at the 10th international ISAAC congress, University of Macau, China, August 3–8, 2015. Zbl 1359.30003 1 2016 Differential forms and Clifford analysis. Zbl 1388.30079 Sabadini, Irene; Sommen, Franciscus 1 2016 Examples of morphological calculus. Zbl 1388.30080 Sommen, Franciscus 1 2016 Introductory Clifford analysis. Zbl 1330.30008 Sommen, Frank; De Schepper, Hennie 3 2015 Biaxial monogenic functions from Funk-Hecke’s formula combined with Fueter’s theorem. Zbl 1326.33017 Peña Peña, Dixan; Sommen, Frank 3 2015 Hermitian Clifford analysis. Zbl 1330.30006 Sabadini, Irene; Sommen, Frank 2 2015 Boundary value problems on fractal hypersurfaces for the quaternionic Hermitian system in \(\mathbb R^{4n}\). Zbl 1317.30072 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Moreno-García, Tania; Sommen, Frank 2 2015 Discrete Hardy spaces. Zbl 1308.44002 Cerejeiras, Paula; Kähler, Uwe; Ku, Min; Sommen, Frank 16 2014 Twisted plane wave expansions using hypercomplex methods. Zbl 1288.30051 Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C. 12 2014 On solutions of a discretized heat equation in discrete Clifford analysis. Zbl 1283.39002 Baaske, F.; Bernstein, S.; De Ridder, H.; Sommen, F. 11 2014 Taylor series expansion in discrete Clifford analysis. Zbl 1292.30021 De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank 9 2014 A new integral formula for the inverse Fueter mapping theorem. Zbl 1305.30024 Colombo, Fabrizio; Peña Peña, Dixan; Sabadini, Irene; Sommen, Frank 7 2014 Distributions and the global operator of slice monogenic functions. Zbl 1306.30019 Colombo, Fabrizio; Sommen, Franciscus 6 2014 The Fueter primitive of biaxially monogenic functions. Zbl 1277.30036 Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 5 2014 Generating functions of orthogonal polynomials in higher dimensions. Zbl 1293.42027 De Bie, Hendrik; Peña Peña, Dixan; Sommen, Frank 3 2014 Special functions and systems in Hermitian Clifford analysis: higher codimension. Zbl 1317.30076 De Schepper, Nele; Peña, Dixan Peña; Sommen, Frank 2 2014 Sato’s hyperfunctions and boundary values of monogenic functions. Zbl 1325.46045 Sabadini, Irene; Sommen, Franciscus; Struppa, Daniele C. 2 2014 Dirichlet type problems in Hermitian Clifford analysis. Zbl 1332.30072 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Moreno-García, Tania; Sommen, Frank 2 2014 Hypercomplex analysis: new perspectives and applications. Selected papers presented at the session on Clifford and quaternionic analysis at the 9th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Krakow, Poland, August 5–9, 2013. Zbl 1300.30002 1 2014 Holomorphic approximation of \(L_2\)-functions on the unit sphere in \(\mathbb R^3\). Zbl 1312.30063 De Schepper, Nele; Qian, Tao; Sommen, Frank; Wang, Jinxun 1 2014 The inverse Fueter mapping theorem in integral form using spherical monogenics. Zbl 1341.30042 Colombo, Fabrizio; Sabadini, Irene; Sommen, Franciscus 16 2013 Cauchy-Kowalevski extensions and monogenic plane waves using spherical monogenics. Zbl 1273.30040 De Schepper, N.; Sommen, F. 12 2013 Complex boosts: a Hermitian Clifford algebra approach. Zbl 1269.15021 Ferreira, Milton; Sommen, Frank 6 2013 Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis. Zbl 1318.30073 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 5 2013 Special functions and systems in Hermitian Clifford analysis. Zbl 1323.30068 De Schepper, Nele; Peña, Dixan Peña; Sommen, Frank 3 2013 Advances in hypercomplex analysis. Based on the INdAM workshop on different notions of regularity for functions of a quaternionic variable, Rome, Italy, September 13–17, 2010. Zbl 1253.30004 1 2013 Cauchy integral formulae in quaternionic Hermitean Clifford analysis. Zbl 1275.30017 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 20 2012 Boundary value problems associated to a Hermitian Helmholtz equation. Zbl 1269.30050 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 14 2012 Fueter polynomials in discrete Clifford analysis. Zbl 1258.30024 De Ridder, H.; De Schepper, H.; Sommen, F. 13 2012 Phase derivative of monogenic signals in higher dimensional spaces. Zbl 1275.30027 Yang, Yan; Qian, Tao; Sommen, Frank 12 2012 Boundary value problems for the quaternionic Hermitian system in \(\mathbb R^{4n}\). Zbl 1276.30058 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 8 2012 Vekua-type systems related to two-sided monogenic functions. Zbl 1275.30024 Peña, Dixan Peña; Sommen, Frank 6 2012 Cauchy-Kowalevski extensions and monogenic plane waves in Clifford analysis. Zbl 1264.30039 Schepper, Nele De; Sommen, Frank 4 2012 Discrete Clifford analysis: the one-dimensional setting. Zbl 1262.30051 De Bie, H.; De Ridder, H.; Sommen, F. 4 2012 Duality for Hermitean systems in \(\mathbb R^{2n}\). Zbl 1275.30018 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Delanghe, Richard; Sommen, Frank 3 2012 A Hilbert transform for matrix functions on fractal domains. Zbl 1275.30016 Abreu-Blaya, R.; Bory-Reyes, J.; Brackx, F.; De Schepper, H.; Sommen, F. 3 2012 Closed form of the Fourier-Borel kernel in the framework of Clifford analysis. Zbl 1264.30041 de Schepper, N.; Sommen, F. 2 2012 Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis. Zbl 1256.30046 Abreu-Blaya, Ricardo; Bory-Reyes, Juan; Brackx, Fred; De Schepper, Hennie; Sommen, Frank 2 2012 The inverse Fueter mapping theorem. Zbl 1258.30022 Colombo, Fabrizio; Sabadini, Irene; Sommen, Frank 28 2011 A Cauchy-Kowalevski theorem for inframonogenic functions. Zbl 1235.30031 Malonek, Helmuth R.; Peña Peña, Dixan; Sommen, Frank 27 2011 The class of Clifford-Fourier transforms. Zbl 1237.30017 De Bie, Hendrik; De Schepper, Nele; Sommen, Frank 21 2011 Orthogonality of Hermite polynomials in superspace and Mehler type formulae. Zbl 1233.33004 Coulembier, Kevin; De Bie, Hendrik; Sommen, Frank 11 2011 The Cauchy-Kovalevskaya extension theorem in discrete Clifford analysis. Zbl 1255.30050 De Ridder, Hilde; De Schepper, Hennie; Sommen, Frank 11 2011 Hypercomplex analysis and applications. Selected papers presented at the session ‘Clifford and quaternionic analysis’ of the 7th ISAAC conference, London, UK, July 2009. Zbl 1205.30003 1 2011 A differential form approach to Dirac operators on surfaces. Zbl 1235.30032 Orelma, Heikki; Sommen, Frank 1 2011 A holomorphic extension theorem using Clifford analysis. Zbl 1222.30041 Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan; Sommen, Frank 1 2011 Elements of metrodynamics: the general setting. Zbl 1222.30043 Sabadini, Irene; Sommen, Frank 1 2011 The Fueter mapping theorem in integral form and the \(\mathcal F\)-functional calculus. Zbl 1225.47019 Colombo, Fabrizio; Sabadini, Irene; Sommen, Frank 54 2010 Fischer decomposition by inframonogenic functions. Zbl 1217.30047 Malonek, Helmuth R.; Peña Peña, Dixan; Sommen, Frank 32 2010 Discrete function theory based on skew Weyl relations. Zbl 1201.30062 De Ridder, Hilde; De Schepper, Hennie; Kähler, Uwe; Sommen, Frank 26 2010 Orthosymplectically invariant functions in superspace. Zbl 1312.46065 Coulembier, K.; De Bie, H.; Sommen, F. 11 2010 Fueter’s theorem: the saga continues. Zbl 1183.30056 Peña, Dixan Peña; Sommen, Frank 9 2010 A Hermitian Cauchy formula on a domain with fractal boundary. Zbl 1201.30060 Abreu-Blaya, R.; Bory-Reyes, J.; Brackx, F.; De Schepper, H.; Sommen, F. 8 2010 The Clifford-Fourier integral kernel in even dimensional Euclidean space. Zbl 1208.42003 Brackx, Fred; de Schepper, Nele; Sommen, Frank 7 2010 \(q\)-deformed harmonic and Clifford analysis and the \(q\)-Hermite and Laguerre polynomials. Zbl 1193.81054 Coulembier, K.; Sommen, F. 6 2010 A note on the Fueter theorem. Zbl 1207.30075 Peña Peña, Dixan; Sommen, Frank 5 2010 The cylindrical Fourier transform. Zbl 1211.65177 Brackx, Fred; De Schepper, Nele; Sommen, Frank 3 2010 Holomorphic extension theorems in Lipschitz domains of \({\mathbb{C}}^{2}\). Zbl 1193.30068 Blaya, Ricardo Abreu; Reyes, Juan Bory; Peña, Dixan Peña; Sommen, Frank 3 2010 Biregular extendability via isotonic Clifford analysis. Zbl 1195.30067 Abreu Blaya, Ricardo; Bory Reyes, Juan; Peña Peña, Dixan; Sommen, Frank 1 2010 On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis. Zbl 1182.30081 Brackx, F.; De Knock, B.; De Schepper, H.; Sommen, F. 30 2009 Spherical harmonics and integration in superspace: II. Zbl 1179.30053 De Bie, H.; Eelbode, D.; Sommen, F. 20 2009 Integration in superspace using distribution theory. Zbl 1187.58011 Coulembier, K.; de Bie, H.; Sommen, F. 18 2009 Discrete Clifford analysis: a germ of function theory. Zbl 1173.30034 Brackx, F.; De Schepper, H.; Sommen, F.; Van de Voorde, L. 18 2009 A basic framework for discrete Clifford analysis. Zbl 1186.30044 de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet 14 2009 Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution. Zbl 1168.30025 Peña, Dixan Peña; Sommen, Frank 11 2009 Discrete Clifford analysis: an overview. Zbl 1171.30020 Brackx, Fred; de Schepper, Hennie; Sommen, Frank; van de Voorde, Liesbet 10 2009 A Cauchy integral formula in superspace. Zbl 1179.30054 De Bie, H.; Sommen, F. 9 2009 Generalized hermitian Clifford-Hermite polynomials and the associated wavelet transform. Zbl 1169.30023 Brackx, Fred; de Schepper, Hennie; de Schepper, Nele; Sommen, Frank 5 2009 Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Zbl 1159.30003 3 2009 Clifford algebra applied to the heat equation. Zbl 1185.30051 Cerejeiras, P.; Sommen, F. 3 2009 Criteria for monogenicity of Clifford-algebra-valued functions. Zbl 1180.30051 Abreu Blaya, Ricardo; Reyes, Juan Bory; Peña Peña, Dixan; Sommen, Frank 2 2009 On the CK-extension for a special overdetermined system in complex Clifford analysis. Zbl 1168.30327 De Knock, Bram; Peña, Dixan Peña; Sommen, Frank 2 2009 The Hermitian Clifford analysis toolbox. Zbl 1177.30064 Brackx, Fred; De Schepper, Hennie; Sommen, Frank 55 2008 Fundamental solutions for the super Laplace and Dirac operators and all their natural powers. Zbl 1143.30022 De Bie, H.; Sommen, F. 14 2008 Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces. Zbl 1180.30052 Blaya, Ricardo Abreu; Reyes, Juan Bory; Brackx, Fred; De Knock, Bram; De Schepper, Hennie; Peña, Dixan Peña; Sommen, Frank 12 2008 ...and 149 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 826 Authors 132 Sommen, Franciscus 94 Sabadini, Irene 75 Abreu-Blaya, Ricardo 72 Colombo, Fabrizio 69 Brackx, Fred F. 66 Bory Reyes, Juan 62 De Schepper, Hennie 51 Kraußhar, Rolf Sören 50 Eelbode, David 45 De Bie, Hendrik 42 Kähler, Uwe 40 Qian, Tao 36 Struppa, Daniele Carlo 34 Soucek, Vladimir 33 Alpay, Daniel Aron 33 Cerejeiras, Paula 27 Constales, Denis 27 Lávička, Roman 27 Ren, Guangbin 27 Vieira, Nelson 25 Peña Peña, Dixan 25 Ryan, John 22 Ku, Min 20 Wang, Wei 19 Adán, Alí Guzmán 19 Diki, Kamal 19 Li, Pingrun 18 Bernstein, Swanhild 18 De Martino, Antonino 18 Kou, Kit-Ian 16 Delanghe, Richard 16 Dinh, Doan Cong 16 Ferreira, Milton 16 He, Fuli 16 Malonek, Helmuth Robert 16 Morais, João Pedro 16 Shapiro, Michael V. 15 Gürlebeck, Klaus 15 Qiao, Yuying 15 Raeymaekers, Tim 14 Pinton, Stefano 13 Ding, Chao 13 Gentili, Graziano 13 Gu, Longfei 13 Moreno García, Arsenio 13 Perotti, Alessandro 13 Yuan, Hongfen 12 Cação, Isabel 12 Dang, Pei 12 De Ridder, Hilde 12 Lian, Pan 12 Moreno García, Tania 12 Orelma, Heikki 12 Rodrigues, Maria Manuela 12 Yang, Heju 11 Falcão, Maria Irene 11 Santiesteban, Daniel Alfonso 11 Van Lancker, Peter 11 Yang, Yan 10 Damiano, Alberto 10 De Knock, Bram 10 Hitzer, Eckhard 10 Luna-Elizarrarás, María Elena 10 Vanegas, Judith C. 9 Bock, Sebastian 9 Porter, R. Michael 9 Stoppato, Caterina 9 Vajiac, Mihaela B. 9 Wang, Haiyan 8 de Almeida, Regina 8 De Schepper, Nele 8 Faustino, Nelson José Rodrigues 8 Grob, Dennis 8 Li, Xingmin 7 Bahri, Mawardi 7 Ben Mabrouk, Anouar 7 Du, Jinyuan 7 Fei, Minggang 7 Gantner, Jonathan 7 Ghiloni, Riccardo 7 Li, Yongkun 7 Li, Zunfeng 7 Sigarreta Almira, José María 7 Vâjiac, Adrian I. 7 Xie, Yonghong 7 Zhao, Jiman 6 Bureš, Jarolím 6 Coulembier, Kevin 6 Di Teodoro, Antonio Nicola 6 González-Cervantes, José Óscar 6 Homma, Yasushi 6 Kimsey, David Patrick 6 Kisil, Vladimir V. 6 Legatiuk, Dmitrii 6 Li, Shanshan 6 Mai, Weixiong 6 Peng, Lizhong 6 Wang, Jinxun 6 Zhang, Zhongxiang 5 Arfaoui, Sabrine ...and 726 more Authors all top 5 Cited in 208 Serials 237 Advances in Applied Clifford Algebras 112 Mathematical Methods in the Applied Sciences 103 Complex Analysis and Operator Theory 64 Journal of Mathematical Analysis and Applications 57 Complex Variables and Elliptic Equations 29 Journal of Geometry and Physics 25 The Journal of Geometric Analysis 22 Journal of Mathematical Physics 18 Applied Mathematics and Computation 17 Computational Methods and Function Theory 16 Annali di Matematica Pura ed Applicata. 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Series B (English Edition) 2 Fractals ...and 108 more Serials all top 5 Cited in 58 Fields 900 Functions of a complex variable (30-XX) 214 Linear and multilinear algebra; matrix theory (15-XX) 197 Partial differential equations (35-XX) 165 Harmonic analysis on Euclidean spaces (42-XX) 134 Operator theory (47-XX) 104 Several complex variables and analytic spaces (32-XX) 84 Quantum theory (81-XX) 83 Functional analysis (46-XX) 83 Global analysis, analysis on manifolds (58-XX) 74 Integral transforms, operational calculus (44-XX) 63 Special functions (33-XX) 56 Differential geometry (53-XX) 49 Potential theory (31-XX) 46 Number theory (11-XX) 43 Nonassociative rings and algebras (17-XX) 40 Information and communication theory, circuits (94-XX) 37 Abstract harmonic analysis (43-XX) 36 Integral equations (45-XX) 34 Topological groups, Lie groups (22-XX) 28 Difference and functional equations (39-XX) 27 Real functions (26-XX) 27 Numerical analysis (65-XX) 25 Ordinary differential equations (34-XX) 18 Relativity and gravitational theory (83-XX) 17 Approximations and expansions (41-XX) 15 Combinatorics (05-XX) 15 Group theory and generalizations (20-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Computer science (68-XX) 12 Geometry (51-XX) 11 Measure and integration (28-XX) 11 Probability theory and stochastic processes (60-XX) 11 Optics, electromagnetic theory (78-XX) 9 Algebraic geometry (14-XX) 9 Associative rings and algebras (16-XX) 9 Fluid mechanics (76-XX) 9 Biology and other natural sciences (92-XX) 8 Mechanics of particles and systems (70-XX) 5 Commutative algebra (13-XX) 5 Statistics (62-XX) 5 Mechanics of deformable solids (74-XX) 5 Systems theory; control (93-XX) 4 Field theory and polynomials (12-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 3 Category theory; homological algebra (18-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Algebraic topology (55-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Convex and discrete geometry (52-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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