Edit Profile (opens in new tab) Soucek, Vladimir Compute Distance To: Compute Author ID: soucek.vladimir Published as: Souček, Vladimír; Souček, V.; Souček, Vladimir; Soucěk, Vladimir; Soucek, Vladimir; Souček, Vladímir; Soucek, V. Documents Indexed: 125 Publications since 1970, including 4 Books 13 Contributions as Editor Co-Authors: 53 Co-Authors with 119 Joint Publications 891 Co-Co-Authors all top 5 Co-Authors 19 single-authored 24 Brackx, Fred F. 24 Bureš, Jarolím 23 De Schepper, Hennie 21 Lávička, Roman 16 Soucek, Jiri 13 Eelbode, David 11 Fučik, Svatopluk 10 Nečas, Jindřich 10 Somberg, Petr 10 Sommen, Franciscus 9 Čap, Andreas 9 Delanghe, Richard 6 Slovák, Jan 4 Frolík, Zdeněk 4 Krump, Lukáš 4 Van Lancker, Peter 3 Colombo, Fabrizio 3 De Bie, Hendrik 3 Ørsted, Bent 3 Sabadini, Irene 3 Vinarek, Jiri 2 Calderbank, David M. J. 2 Damiano, Alberto 2 Dodson, Michael Maurice 2 Hammerl, Matthias 2 Kučera, Milan 2 Šilhan, Josef 1 Bartík, Vojtěch 1 Berg, Christian 1 Bock, Sebastian 1 Chisholm, John Stephen Roy 1 Coulembier, Kevin 1 Cover, A. Rod 1 Diemer, Tammo 1 Eastwood, Michael G. 1 Fabian, Martin 1 Førsted, Bent 1 Gover, Ashwin Rod 1 Gürlebeck, Klaus 1 Howe, Roger Evans 1 Klimčík, Ctirad 1 Kobayashi, Toshiyuki 1 Lee, Soo Teck 1 Markl, Martin 1 Munkholm, Hans Jørgen 1 Netuka, Ivan 1 Ofman, Salomon 1 Pandžić, Pavle 1 Pompoš, A. 1 Salinger, David L. 1 Stará, Jana 1 Struppa, Daniele Carlo 1 Wang, Wei all top 5 Serials 15 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Advances in Applied Clifford Algebras 6 Mathematical Methods in the Applied Sciences 6 Seminari di Geometria. Universitá degli Studi di Bologna 5 Commentationes Mathematicae Universitatis Carolinae 5 Complex Variables. Theory and Application 5 Annals of Global Analysis and Geometry 4 Complex Variables and Elliptic Equations 4 Complex Analysis and Operator Theory 3 Journal of Geometry and Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Advances in Mathematics 2 Archivum Mathematicum 2 Czechoslovak Mathematical Journal 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Revista Matemática Iberoamericana 2 Differential Geometry and its Applications 2 Acta Mathematica Universitatis Comenianae. New Series 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Časopis Pro Pěstování Matematiky 1 Journal of Algebra 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Simon Stevin 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Pokroky Matematiky, Fyziky & Astronomie 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Computational Methods and Function Theory 1 Cubo 1 Bollettino della Unione Matematica Italiana. Series IV 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Pure and Applied Mathematics Quarterly 1 Lecture Notes in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Teubner-Texte zur Mathematik 1 Textos de Matemática. Série B 1 NATO Science Series II: Mathematics, Physics and Chemistry all top 5 Fields 65 Functions of a complex variable (30-XX) 44 Global analysis, analysis on manifolds (58-XX) 43 Differential geometry (53-XX) 20 Partial differential equations (35-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 General and overarching topics; collections (00-XX) 14 Several complex variables and analytic spaces (32-XX) 12 Operator theory (47-XX) 11 Nonassociative rings and algebras (17-XX) 8 Topological groups, Lie groups (22-XX) 8 Quantum theory (81-XX) 7 Manifolds and cell complexes (57-XX) 6 Special functions (33-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Integral equations (45-XX) 5 Functional analysis (46-XX) 4 Abstract harmonic analysis (43-XX) 3 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Algebraic topology (55-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 1,143 times in 693 Documents Cited by ▼ Year ▼ Clifford algebra and spinor-valued functions. A function theory for the Dirac operator. Related REDUCE software by F. Brackx and D. Constales. Zbl 0747.53001Delanghe, R.; Sommen, F.; Souček, V. 299 1992 Bernstein-Gelfand-Gelfand sequences. Zbl 1159.58309Čap, Andreas; Slovák, Jan; Souček, Vladimír 81 2001 Spectral analysis of nonlinear operators. Zbl 0268.47056Fučik, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 68 1973 Fundaments of Hermitean Clifford analysis. I: Complex structure. Zbl 1131.30019Brackx, Fred; Bureš, Jarolím; De Schepper, Hennie; Eelbode, David; Sommen, Frank; Souček, Vladímir 57 2007 Fundaments of Hermitean Clifford analysis. II: Splitting of \(h\)-monogenic equations. Zbl 1144.30019Brackx, F.; Bureš, J.; de Schepper, H.; Eelbode, D.; Sommen, F.; Souček, V. 53 2007 Rarita-Schwinger type operators in Clifford analysis. Zbl 1078.30041Bureš, J.; Sommen, F.; Souček, V.; van Lancker, P. 35 2001 The Howe dual pair in Hermitean Clifford analysis. Zbl 1201.30061Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimir 35 2010 Dunkl operators and a family of realizations of \(\mathfrak{osp}(1|2)\). Zbl 1276.33021De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V. 32 2012 Invariant resolutions for several Fueter operators. Zbl 1103.30031Colombo, Fabrizio; Souček, Vladimir; Struppa, Daniele C. 25 2006 Symmetric analogues of Rarita-Schwinger equations. Zbl 1025.58013Bureš, J.; Sommen, F.; Souček, V.; Van Lancker, P. 25 2002 Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír 25 2015 The Radon transform between monogenic and generalized slice monogenic functions. Zbl 1335.30017Colombo, F.; Lávička, R.; Sabadini, I.; Souček, V. 16 2015 Gelfand-Tsetlin bases for spherical monogenics in dimension 3. Zbl 1253.30056Bock, Sebastian; Gürlebeck, Klaus; Lávička, Roman; Souček, Vladimír 16 2012 Ricci-corrected derivatives and invariant differential operators. Zbl 1082.58037Calderbank, David M. J.; Diemer, Tammo; Souček, Vladimír 15 2005 Morse-Sard theorem for real-analytic functions. Zbl 0235.26012Souček, Jiří; Souček, Vladimír 15 1972 The Howe duality for the Dunkl version of the Dirac operator. Zbl 1404.17018Ørsted, Bent; Somberg, Petr; Souček, Vladimír 14 2009 The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 14 2011 Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation. Zbl 0969.53003Čap, A.; Slovák, J.; Souček, V. 12 1997 Complex-quaternionic analysis applied to spin-1/2 massless fields. Zbl 0525.30039Soucek, Vladimir 11 1983 Complexes of invariant operators in several quaternionic variables. Zbl 1184.30044Bureš, J.; Souček, V. 11 2006 Subcomplexes in curved BGG-sequences. Zbl 1318.32044Čap, Andreas; Souček, Vladimír 11 2012 Fischer decompositions in Euclidean and Hermitean Clifford analysis. Zbl 1249.30135Brackx, Fred; De Schepper, Hennie; Souček, Vladimír 11 2010 Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections. Zbl 1024.53007Čap, A.; Slovák, J.; Souček, V. 10 1997 Orthogonal basis for spherical monogenics by step two branching. Zbl 1250.30048Lávička, R.; Souček, V.; Van Lancker, P. 9 2012 On a new normalization for tractor covariant derivatives. Zbl 1264.58029Hammerl, Matthias; Somberg, Petr; Souček, Vladimír; Šilhan, Josef 9 2012 Invariant operators on manifolds with almost Hermitian symmetric structures. III: Standard operators. Zbl 0969.53004Čap, Andreas; Slovák, Jan; Souček, Vladimír 8 2000 Invariant operators of the first order on manifolds with a given parabolic structure. Zbl 0998.53021Slovák, Jan; Souček, Vladimir 8 2000 Conformally invariant powers of the Dirac operator in Clifford analysis. Zbl 1201.30065Eelbode, David; Souček, Vladimír 8 2010 The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. Zbl 1279.30051De Bie, Hendrik; Somberg, Petr; Souček, Vladimir 8 2014 Elements of quaternionic analysis and Radon transform. Zbl 1190.30002Bureš, J.; Lávička, R.; Souček, V. 8 2009 Special tensors in the deformation theory of quadratic algebras for the classical Lie algebras. Zbl 1161.17006Eastwood, Michael; Somberg, Petr; Souček, Vladimír 8 2007 Yang-Mills detour complexes and conformal geometry. Zbl 1141.58013Gover, A. Rod; Somberg, Petr; Souček, Vladimír 8 2008 Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. Zbl 1364.15016Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 8 2014 Clifford analysis for higher spins. Zbl 0841.30038Souček, Vladimír 7 1993 Gegenbauer polynomials and the Fueter theorem. Zbl 1307.30091Eelbode, David; Souček, V.; Van Lancker, P. 7 2014 On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems. Zbl 1254.30083Delanghe, Richard; Lávička, Roman; Souček, Vladimír 7 2011 Curved Casimir operators and the BGG machinery. Zbl 1142.22008Čap, Andreas; Souček, Vladimír 7 2007 Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. Zbl 1242.30041Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 7 2011 Higher spins and conformal invariance in Clifford analysis. Zbl 0876.58052Souček, Vladimír 6 1996 Fischer decomposition in symplectic harmonic analysis. Zbl 1337.15021Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 6 2014 Relative BGG sequences. II: BGG machinery and invariant operators. Zbl 1418.17022Čap, Andreas; Souček, Vladimír 6 2017 Einführung in die Variationsrechnung. Übersetzung von Štefan Schwabík. Zbl 0384.49001Fučík, Svatopluk; Nečas, Jindřich; Souček, Vladimír 5 1977 Differential forms versus multi-vector functions in Hermitean Clifford analysis. Zbl 1244.30068Brackx, Fred F.; De Schepper, Hennie; Souček, Vladimír 5 2011 The nonexistence of a weak solution of Dirichlet’s problem for the functional of minimal surface on nonconvex domains. Zbl 0256.35030Souček, V. 5 1971 Generalized hypercomplex analysis and its integral formulas. Zbl 0586.30043Bureš, J.; Souček, V. 5 1985 The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30061Delanghe, Richard; Lávička, Roman; Souček, Vladimír 5 2012 Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. Zbl 1270.53024Hammerl, M.; Somberg, P.; Souček, V.; Šilhan, J. 5 2012 Joseph ideals and harmonic analysis for \(\mathfrak{osp}(m|2n)\). Zbl 1370.17016Coulembier, Kevin; Somberg, Petr; Souček, Vladimír 5 2014 Relative BGG sequence. I: Algebra. Zbl 1380.17009Čap, Andreas; Souček, Vladimir 5 2016 BGG complexes in singular infinitesimal character for type A. Zbl 1430.17028Pandžić, Pavle; Souček, Vladimír 4 2017 A note on Whittaker’s cardinal series in harmonic analysis. Zbl 0616.43006Dodson, M. M.; Silva, A. M.; Soucek, V. 4 1986 The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30075Souček, Vladimír; Delanghe, Richard; Lávička, Roman 4 2012 Monogenic differential forms. Zbl 0765.30032Sommen, F.; Souček, V. 3 1992 Eigenvalues of conformally invariant operators on spheres. Zbl 0958.58024Bureš, Jarolím; Souček, Vladimír 3 1999 Residues in Clifford analysis. Zbl 0797.30038Delanghe, R.; Sommen, F.; Souček, V. 3 1992 Conformally invariant operators via curved Casimirs: examples. Zbl 1208.53050Čap, Andreas; Cover, A. Rod; Souček, Vladimír 3 2010 Fischer decomposition for \(\mathfrak{osp}(4|2)\)-monogenics in quaternionic Clifford analysis. Zbl 1361.30085Brackx, Fred; De Schepper, Hennie; Eelbode, David; Lávička, Roman; Souček, Vladimir 3 2016 Upper bound for the number of eigenvalues for nonlinear operators. Zbl 0263.58007Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 3 1973 The Clifford deformation of the Hermite semigroup. Zbl 1273.43007De Bie, Hendrik; Førsted, Bent; Somberg, Petr; Souček, Vladimir 3 2013 Representation theory in Clifford analysis. Zbl 1330.30009Souček, Vladimír 3 2015 A reciprocity law and the skew Pieri rule for the symplectic group. Zbl 1472.20097Howe, Roger; Lávička, Roman; Lee, Soo Teck; Souček, Vladimír 3 2017 Fundaments of quaternionic Clifford analysis. II: Splitting of equations. Zbl 1364.30056Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 3 2017 Clifford analysis as a study of invariant operators. Zbl 1094.53502Souček, Vladimír 2 2001 Grading of spinor bundles and gravitating matter in noncommutative geometry. Zbl 0794.53055Klimčík, C.; Pompoš, A.; Souček, V. 2 1994 On the structure of spinor-valued differential forms. Zbl 0726.53014Delanghe, Richard; Souček, Vladimir 2 1992 Morse-Sard theorem in infinite dimensional Banach spaces and investigation of the set of all critical levels. Zbl 0291.58008Fučik, Svatopluk; Kučera, Milan; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1974 Upper bound for the number of critical levels for nonlinear operators in Banach spaces of the type of second order nonlinear partial differential operators. Zbl 0252.47072Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1972 Note to nonlinear spectral theory: application to the nonlinear integral equations of the Lichtenstein type. Zbl 0273.45005Fučik, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1973 The generalized Dolbeault complex in two Clifford variables. Zbl 1126.58018Krump, Lukáš; Souček, Vladimír 2 2007 Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 2 2015 An explicit realization of spinor spaces and its application to Clifford analysis. Zbl 0746.53013Delanghe, Richard; Sommen, Frank; Soucěk, Vladimir 1 1992 On the structure of spinor-valued differential forms. Zbl 0756.53007Delanghe, Richard; Souček, Vladimir 1 1992 Monogenic forms on manifolds. Zbl 0885.53050Souček, Vladimír 1 1993 Fischer decomposition for massless fields of spin 1 in dimension 4. Zbl 1468.30082Brackx, F.; de Schepper, H.; Krump, L.; Souček, V. 1 2018 The Morse-Sard theorem for real-analytic functions. Zbl 0314.57021Souček, Jiří; Souček, Vladimír 1 1973 \({\mathbb{H}}\)-valued differential forms on \({\mathbb{H}}\). Zbl 0546.30040Souček, Vladimír 1 1984 Invariant operators and Clifford analysis. Zbl 1221.30117Souček, Vladimír 1 2001 On the structure of complex Clifford algebra. Zbl 1279.15020Brackx, F.; De Schepper, H.; Souček, V. 1 2011 Krasnoselskiĭ’s main bifurcation theorem. Zbl 0301.47041Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 1974 Strengthening upper bound for the number of critical levels of nonlinear functionals. Zbl 0253.58006Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 1972 New infinite dimensional versions of Morse-Sard theorem. Zbl 0263.58006Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 1972 Singular BGG sequences for the even orthogonal case. Zbl 1164.58317Krump, Lukáš; Souček, Vladimír 1 2006 Hasse diagrams for parabolic geometries. Zbl 1047.53014Krump, Lukáš; Souček, Vladimír 1 2003 Hypercomplex differential forms applied to the De Rham and the Dolbeault complex. Zbl 0659.30042Sommen, F.; Souček, V. 1 1985 On generalized Cauchy Riemann equations on manifolds. Zbl 0575.32028Bureš, Jarolím; Souček, Vladimír 1 1984 I conferenza: Holomorphicity in quaternionic analysis. Zbl 0599.30077Souček, V. 1 1984 Generalized C-R equations on manifolds. Zbl 0602.58008Souček, Vladimír 1 1986 Different approaches to the complex of three Dirac operators. Zbl 1338.58025Damiano, Alberto; Sabadini, Irene; Souček, Vladimir 1 2014 Monogenic plane waves and the \(W\)-functional calculus. Zbl 1350.30068Colombo, Fabrizio; Lávička, Roman; Sabadini, Irene; Souček, Vladimír 1 2016 Fischer decomposition for massless fields of spin 1 in dimension 4. Zbl 1468.30082Brackx, F.; de Schepper, H.; Krump, L.; Souček, V. 1 2018 Relative BGG sequences. II: BGG machinery and invariant operators. Zbl 1418.17022Čap, Andreas; Souček, Vladimír 6 2017 BGG complexes in singular infinitesimal character for type A. Zbl 1430.17028Pandžić, Pavle; Souček, Vladimír 4 2017 A reciprocity law and the skew Pieri rule for the symplectic group. Zbl 1472.20097Howe, Roger; Lávička, Roman; Lee, Soo Teck; Souček, Vladimír 3 2017 Fundaments of quaternionic Clifford analysis. II: Splitting of equations. Zbl 1364.30056Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 3 2017 Relative BGG sequence. I: Algebra. Zbl 1380.17009Čap, Andreas; Souček, Vladimir 5 2016 Fischer decomposition for \(\mathfrak{osp}(4|2)\)-monogenics in quaternionic Clifford analysis. Zbl 1361.30085Brackx, Fred; De Schepper, Hennie; Eelbode, David; Lávička, Roman; Souček, Vladimir 3 2016 Monogenic plane waves and the \(W\)-functional calculus. Zbl 1350.30068Colombo, Fabrizio; Lávička, Roman; Sabadini, Irene; Souček, Vladimír 1 2016 Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír 25 2015 The Radon transform between monogenic and generalized slice monogenic functions. Zbl 1335.30017Colombo, F.; Lávička, R.; Sabadini, I.; Souček, V. 16 2015 Representation theory in Clifford analysis. Zbl 1330.30009Souček, Vladimír 3 2015 Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 2 2015 The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. Zbl 1279.30051De Bie, Hendrik; Somberg, Petr; Souček, Vladimir 8 2014 Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. Zbl 1364.15016Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 8 2014 Gegenbauer polynomials and the Fueter theorem. Zbl 1307.30091Eelbode, David; Souček, V.; Van Lancker, P. 7 2014 Fischer decomposition in symplectic harmonic analysis. Zbl 1337.15021Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 6 2014 Joseph ideals and harmonic analysis for \(\mathfrak{osp}(m|2n)\). Zbl 1370.17016Coulembier, Kevin; Somberg, Petr; Souček, Vladimír 5 2014 Different approaches to the complex of three Dirac operators. Zbl 1338.58025Damiano, Alberto; Sabadini, Irene; Souček, Vladimir 1 2014 The Clifford deformation of the Hermite semigroup. Zbl 1273.43007De Bie, Hendrik; Førsted, Bent; Somberg, Petr; Souček, Vladimir 3 2013 Dunkl operators and a family of realizations of \(\mathfrak{osp}(1|2)\). Zbl 1276.33021De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V. 32 2012 Gelfand-Tsetlin bases for spherical monogenics in dimension 3. Zbl 1253.30056Bock, Sebastian; Gürlebeck, Klaus; Lávička, Roman; Souček, Vladimír 16 2012 Subcomplexes in curved BGG-sequences. Zbl 1318.32044Čap, Andreas; Souček, Vladimír 11 2012 Orthogonal basis for spherical monogenics by step two branching. Zbl 1250.30048Lávička, R.; Souček, V.; Van Lancker, P. 9 2012 On a new normalization for tractor covariant derivatives. Zbl 1264.58029Hammerl, Matthias; Somberg, Petr; Souček, Vladimír; Šilhan, Josef 9 2012 The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30061Delanghe, Richard; Lávička, Roman; Souček, Vladimír 5 2012 Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. Zbl 1270.53024Hammerl, M.; Somberg, P.; Souček, V.; Šilhan, J. 5 2012 The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30075Souček, Vladimír; Delanghe, Richard; Lávička, Roman 4 2012 The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 14 2011 On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems. Zbl 1254.30083Delanghe, Richard; Lávička, Roman; Souček, Vladimír 7 2011 Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. Zbl 1242.30041Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 7 2011 Differential forms versus multi-vector functions in Hermitean Clifford analysis. Zbl 1244.30068Brackx, Fred F.; De Schepper, Hennie; Souček, Vladimír 5 2011 On the structure of complex Clifford algebra. Zbl 1279.15020Brackx, F.; De Schepper, H.; Souček, V. 1 2011 The Howe dual pair in Hermitean Clifford analysis. Zbl 1201.30061Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimir 35 2010 Fischer decompositions in Euclidean and Hermitean Clifford analysis. Zbl 1249.30135Brackx, Fred; De Schepper, Hennie; Souček, Vladimír 11 2010 Conformally invariant powers of the Dirac operator in Clifford analysis. Zbl 1201.30065Eelbode, David; Souček, Vladimír 8 2010 Conformally invariant operators via curved Casimirs: examples. Zbl 1208.53050Čap, Andreas; Cover, A. Rod; Souček, Vladimír 3 2010 The Howe duality for the Dunkl version of the Dirac operator. Zbl 1404.17018Ørsted, Bent; Somberg, Petr; Souček, Vladimír 14 2009 Elements of quaternionic analysis and Radon transform. Zbl 1190.30002Bureš, J.; Lávička, R.; Souček, V. 8 2009 Yang-Mills detour complexes and conformal geometry. Zbl 1141.58013Gover, A. Rod; Somberg, Petr; Souček, Vladimír 8 2008 Fundaments of Hermitean Clifford analysis. I: Complex structure. Zbl 1131.30019Brackx, Fred; Bureš, Jarolím; De Schepper, Hennie; Eelbode, David; Sommen, Frank; Souček, Vladímir 57 2007 Fundaments of Hermitean Clifford analysis. II: Splitting of \(h\)-monogenic equations. Zbl 1144.30019Brackx, F.; Bureš, J.; de Schepper, H.; Eelbode, D.; Sommen, F.; Souček, V. 53 2007 Special tensors in the deformation theory of quadratic algebras for the classical Lie algebras. Zbl 1161.17006Eastwood, Michael; Somberg, Petr; Souček, Vladimír 8 2007 Curved Casimir operators and the BGG machinery. Zbl 1142.22008Čap, Andreas; Souček, Vladimír 7 2007 The generalized Dolbeault complex in two Clifford variables. Zbl 1126.58018Krump, Lukáš; Souček, Vladimír 2 2007 Invariant resolutions for several Fueter operators. Zbl 1103.30031Colombo, Fabrizio; Souček, Vladimir; Struppa, Daniele C. 25 2006 Complexes of invariant operators in several quaternionic variables. Zbl 1184.30044Bureš, J.; Souček, V. 11 2006 Singular BGG sequences for the even orthogonal case. Zbl 1164.58317Krump, Lukáš; Souček, Vladimír 1 2006 Ricci-corrected derivatives and invariant differential operators. Zbl 1082.58037Calderbank, David M. J.; Diemer, Tammo; Souček, Vladimír 15 2005 Hasse diagrams for parabolic geometries. Zbl 1047.53014Krump, Lukáš; Souček, Vladimír 1 2003 Symmetric analogues of Rarita-Schwinger equations. Zbl 1025.58013Bureš, J.; Sommen, F.; Souček, V.; Van Lancker, P. 25 2002 Bernstein-Gelfand-Gelfand sequences. Zbl 1159.58309Čap, Andreas; Slovák, Jan; Souček, Vladimír 81 2001 Rarita-Schwinger type operators in Clifford analysis. Zbl 1078.30041Bureš, J.; Sommen, F.; Souček, V.; van Lancker, P. 35 2001 Clifford analysis as a study of invariant operators. Zbl 1094.53502Souček, Vladimír 2 2001 Invariant operators and Clifford analysis. Zbl 1221.30117Souček, Vladimír 1 2001 Invariant operators on manifolds with almost Hermitian symmetric structures. III: Standard operators. Zbl 0969.53004Čap, Andreas; Slovák, Jan; Souček, Vladimír 8 2000 Invariant operators of the first order on manifolds with a given parabolic structure. Zbl 0998.53021Slovák, Jan; Souček, Vladimir 8 2000 Eigenvalues of conformally invariant operators on spheres. Zbl 0958.58024Bureš, Jarolím; Souček, Vladimír 3 1999 Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation. Zbl 0969.53003Čap, A.; Slovák, J.; Souček, V. 12 1997 Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections. Zbl 1024.53007Čap, A.; Slovák, J.; Souček, V. 10 1997 Higher spins and conformal invariance in Clifford analysis. Zbl 0876.58052Souček, Vladimír 6 1996 Grading of spinor bundles and gravitating matter in noncommutative geometry. Zbl 0794.53055Klimčík, C.; Pompoš, A.; Souček, V. 2 1994 Clifford analysis for higher spins. Zbl 0841.30038Souček, Vladimír 7 1993 Monogenic forms on manifolds. Zbl 0885.53050Souček, Vladimír 1 1993 Clifford algebra and spinor-valued functions. A function theory for the Dirac operator. Related REDUCE software by F. Brackx and D. Constales. Zbl 0747.53001Delanghe, R.; Sommen, F.; Souček, V. 299 1992 Monogenic differential forms. Zbl 0765.30032Sommen, F.; Souček, V. 3 1992 Residues in Clifford analysis. Zbl 0797.30038Delanghe, R.; Sommen, F.; Souček, V. 3 1992 On the structure of spinor-valued differential forms. Zbl 0726.53014Delanghe, Richard; Souček, Vladimir 2 1992 An explicit realization of spinor spaces and its application to Clifford analysis. Zbl 0746.53013Delanghe, Richard; Sommen, Frank; Soucěk, Vladimir 1 1992 On the structure of spinor-valued differential forms. Zbl 0756.53007Delanghe, Richard; Souček, Vladimir 1 1992 A note on Whittaker’s cardinal series in harmonic analysis. Zbl 0616.43006Dodson, M. M.; Silva, A. M.; Soucek, V. 4 1986 Generalized C-R equations on manifolds. Zbl 0602.58008Souček, Vladimír 1 1986 Generalized hypercomplex analysis and its integral formulas. Zbl 0586.30043Bureš, J.; Souček, V. 5 1985 Hypercomplex differential forms applied to the De Rham and the Dolbeault complex. Zbl 0659.30042Sommen, F.; Souček, V. 1 1985 \({\mathbb{H}}\)-valued differential forms on \({\mathbb{H}}\). Zbl 0546.30040Souček, Vladimír 1 1984 On generalized Cauchy Riemann equations on manifolds. Zbl 0575.32028Bureš, Jarolím; Souček, Vladimír 1 1984 I conferenza: Holomorphicity in quaternionic analysis. Zbl 0599.30077Souček, V. 1 1984 Complex-quaternionic analysis applied to spin-1/2 massless fields. Zbl 0525.30039Soucek, Vladimir 11 1983 Einführung in die Variationsrechnung. Übersetzung von Štefan Schwabík. Zbl 0384.49001Fučík, Svatopluk; Nečas, Jindřich; Souček, Vladimír 5 1977 Morse-Sard theorem in infinite dimensional Banach spaces and investigation of the set of all critical levels. Zbl 0291.58008Fučik, Svatopluk; Kučera, Milan; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1974 Krasnoselskiĭ’s main bifurcation theorem. Zbl 0301.47041Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 1974 Spectral analysis of nonlinear operators. Zbl 0268.47056Fučik, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 68 1973 Upper bound for the number of eigenvalues for nonlinear operators. Zbl 0263.58007Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 3 1973 Note to nonlinear spectral theory: application to the nonlinear integral equations of the Lichtenstein type. Zbl 0273.45005Fučik, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1973 The Morse-Sard theorem for real-analytic functions. Zbl 0314.57021Souček, Jiří; Souček, Vladimír 1 1973 Morse-Sard theorem for real-analytic functions. Zbl 0235.26012Souček, Jiří; Souček, Vladimír 15 1972 Upper bound for the number of critical levels for nonlinear operators in Banach spaces of the type of second order nonlinear partial differential operators. Zbl 0252.47072Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1972 Strengthening upper bound for the number of critical levels of nonlinear functionals. Zbl 0253.58006Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 1972 New infinite dimensional versions of Morse-Sard theorem. Zbl 0263.58006Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 1972 The nonexistence of a weak solution of Dirichlet’s problem for the functional of minimal surface on nonconvex domains. Zbl 0256.35030Souček, V. 5 1971 all cited Publications top 5 cited Publications all top 5 Cited by 507 Authors 89 Sommen, Franciscus 53 Brackx, Fred F. 49 De Schepper, Hennie 44 Soucek, Vladimir 39 Eelbode, David 32 Sabadini, Irene 24 De Bie, Hendrik 24 Gover, Ashwin Rod 23 Čap, Andreas 23 Colombo, Fabrizio 22 Bory Reyes, Juan 22 Lávička, Roman 19 Qian, Tao 18 Abreu-Blaya, Ricardo 18 Somberg, Petr 15 Kraußhar, Rolf Sören 15 Peña Peña, Dixan 14 Kähler, Uwe 14 Wang, Wei 13 Raeymaekers, Tim 12 Constales, Denis 12 Vieira, Nelson 11 Ren, Guangbin 10 Cerejeiras, Paula 10 Kobayashi, Toshiyuki 10 Van Lancker, Peter 9 Adán, Alí Guzmán 9 Delanghe, Richard 8 Ding, Chao 8 Drábek, Pavel 8 Ferreira, Milton 8 Hammerl, Matthias 8 Mejjaoli, Hatem 8 Šilhan, Josef 7 Damiano, Alberto 7 Gu, Longfei 7 Gürlebeck, Klaus 7 Ku, Min 7 Malonek, Helmuth Robert 7 Ørsted, Bent 7 Salač, Tomáš 7 Vinet, Luc 6 Alpay, Daniel Aron 6 Ben Saïd, Salem 6 Bureš, Jarolím 6 Cação, Isabel 6 Calderbank, David M. J. 6 De Knock, Bram 6 Falcão, Maria Irene 6 Fučik, Svatopluk 6 Grob, Dennis 6 He, Fuli 6 Kou, Kit-Ian 6 Morais, João Pedro 6 Orelma, Heikki 6 Shapiro, Michael V. 6 Wang, Haiyan 5 Bernstein, Swanhild 5 Coulembier, Kevin 5 Dang, Pei 5 De Schepper, Nele 5 Genest, Vincent X. 5 Neusser, Katharina 5 Roels, Matthias 5 Sagerschnig, Katja 5 Soucek, Jiri 5 Struppa, Daniele Carlo 5 Walter, Raymond 5 Yang, Yan 4 Armstrong, Stuart 4 Branson, Thomas Patrick 4 De Ridder, Hilde 4 Eastwood, Michael G. 4 Frahm, Jan 4 Homma, Yasushi 4 Kisil, Vladimir V. 4 Křižka, Libor 4 Li, Junxia 4 Luna-Elizarrarás, María Elena 4 Nečas, Jindřich 4 Pevzner, Michael 4 Radoux, Fabian 4 Rădulescu, Vicenţiu D. 4 Slovák, Jan 4 Waldron, Andrew K. 4 Zhang, Zhongxiang 3 Ahmad, Bashir 3 Al-saedi, Ahmed Eid Salem 3 Binding, Paul Anthony 3 Bock, Sebastian 3 Clerc, Jean-Louis 3 Cnops, Jan 3 de Almeida, Regina 3 Dodson, Michael Maurice 3 Dong, Baohua 3 Du, Jinyuan 3 Fei, Minggang 3 Fischmann, Matthias 3 Furi, Massimo 3 Hu, Ren ...and 407 more Authors all top 5 Cited in 160 Serials 74 Advances in Applied Clifford Algebras 42 Complex Analysis and Operator Theory 38 Journal of Mathematical Analysis and Applications 32 Journal of Geometry and Physics 17 Differential Geometry and its Applications 17 The Journal of Geometric Analysis 15 Mathematical Methods in the Applied Sciences 14 Journal of Mathematical Physics 14 Journal of Functional Analysis 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Computational Methods and Function Theory 13 Complex Variables and Elliptic Equations 12 Annals of Global Analysis and Geometry 11 Advances in Mathematics 10 Communications in Mathematical Physics 10 Transactions of the American Mathematical Society 10 Boundary Value Problems 9 Czechoslovak Mathematical Journal 9 Journal of Differential Equations 9 Proceedings of the American Mathematical Society 9 International Journal of Mathematics 8 Applied Mathematics and Computation 8 Results in Mathematics 7 Journal of Algebra 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Zeitschrift für Analysis und ihre Anwendungen 7 Journal of High Energy Physics 7 Nonlinear Analysis. Theory, Methods & Applications 6 Letters in Mathematical Physics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Journal of Approximation Theory 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Annalen 5 Memoirs of the American Mathematical Society 5 The Journal of Fourier Analysis and Applications 4 Aplikace Matematiky 4 Linear Algebra and its Applications 4 Integral Transforms and Special Functions 4 Transformation Groups 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Pseudo-Differential Operators and Applications 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Journal of Applied Mathematics and Mechanics 3 Physics Letters. A 3 Geometriae Dedicata 3 International Journal of Mathematics and Mathematical Sciences 3 Mathematische Nachrichten 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Revista Matemática Iberoamericana 3 Journal of Lie Theory 3 Acta Mathematica Sinica. English Series 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Science China. Mathematics 2 Analysis Mathematica 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Chaos, Solitons and Fractals 2 Compositio Mathematica 2 Integral Equations and Operator Theory 2 Journal of Computational and Applied Mathematics 2 Journal of Number Theory 2 Tokyo Journal of Mathematics 2 Chinese Annals of Mathematics. Series B 2 Journal of Mathematical Imaging and Vision 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 2 Applied and Computational Harmonic Analysis 2 Selecta Mathematica. New Series 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Evolution Equations 2 Communications on Pure and Applied Analysis 2 Advances in Nonlinear Analysis 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Nuclear Physics. B 1 Physica A 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Mathematics of Computation 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annales de l’Institut Fourier 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematics and Computers in Simulation ...and 60 more Serials all top 5 Cited in 51 Fields 322 Functions of a complex variable (30-XX) 143 Differential geometry (53-XX) 119 Partial differential equations (35-XX) 95 Global analysis, analysis on manifolds (58-XX) 68 Linear and multilinear algebra; matrix theory (15-XX) 65 Operator theory (47-XX) 62 Harmonic analysis on Euclidean spaces (42-XX) 53 Several complex variables and analytic spaces (32-XX) 50 Topological groups, Lie groups (22-XX) 46 Quantum theory (81-XX) 40 Special functions (33-XX) 39 Functional analysis (46-XX) 38 Nonassociative rings and algebras (17-XX) 30 Integral transforms, operational calculus (44-XX) 28 Ordinary differential equations (34-XX) 22 Potential theory (31-XX) 20 Abstract harmonic analysis (43-XX) 18 Relativity and gravitational theory (83-XX) 16 Number theory (11-XX) 14 Group theory and generalizations (20-XX) 12 Information and communication theory, circuits (94-XX) 11 Real functions (26-XX) 11 Integral equations (45-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 7 Algebraic geometry (14-XX) 6 Mechanics of particles and systems (70-XX) 4 Category theory; homological algebra (18-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Difference and functional equations (39-XX) 3 Algebraic topology (55-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 \(K\)-theory (19-XX) 2 Approximations and expansions (41-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year