Edit Profile (opens in new tab) Soucek, Vladimir Co-Author Distance Author ID: soucek.vladimir Published as: Souček, Vladimír; Souček, V.; Souček, Vladimir; Soucěk, Vladimir; Soucek, Vladimir; Souček, Vladímir; Soucek, V. more...less Homepage: https://www.mff.cuni.cz/en/faculty/organizational-structure/people?hdl=132 External Links: MGP · ORCID · Wikidata · ResearchGate Documents Indexed: 134 Publications since 1970, including 4 Books and 6 Additional arXiv Preprints 13 Contributions as Editor Co-Authors: 55 Co-Authors with 128 Joint Publications 996 Co-Co-Authors all top 5 Co-Authors 19 single-authored 24 Brackx, Fred F. 24 Bureš, Jarolím 24 Lávička, Roman 23 De Schepper, Hennie 16 Soucek, Jiri 13 Eelbode, David 11 Fučik, Svatopluk 11 Somberg, Petr 10 Nečas, Jindřich 10 Sommen, Franciscus 9 Čap, Andreas 9 Delanghe, Richard 7 Slovák, Jan 5 Krump, Lukáš 4 Frolík, Zdeněk 4 Pandžić, Pavle 4 Van Lancker, Peter 3 Colombo, Fabrizio 3 De Bie, Hendrik 3 Ørsted, Bent 3 Prlić, Ana 3 Sabadini, Irene 3 Tuček, Vít 3 Vinarek, Jiri 3 Wang, Wei 2 Calderbank, David M. J. 2 Damiano, Alberto 2 Dodson, Michael Maurice 2 Eastwood, Michael G. 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 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 Pompoš, A. 1 Salinger, David L. 1 Stará, Jana 1 Struppa, Daniele Carlo all top 5 Serials 15 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Advances in Applied Clifford Algebras 7 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 Mathematical Inequalities & Applications 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 68 Functions of a complex variable (30-XX) 45 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 Nonassociative rings and algebras (17-XX) 14 Topological groups, Lie groups (22-XX) 14 Several complex variables and analytic spaces (32-XX) 12 Operator theory (47-XX) 8 Special functions (33-XX) 8 Quantum theory (81-XX) 7 Manifolds and cell complexes (57-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Integral equations (45-XX) 5 Functional analysis (46-XX) 4 Group theory and generalizations (20-XX) 4 Abstract harmonic analysis (43-XX) 3 Algebraic geometry (14-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 Associative rings and algebras (16-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 98 Publications have been cited 1,495 times in 905 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 0747.53001 Delanghe, R.; Sommen, F.; Souček, V. 420 1992 Bernstein-Gelfand-Gelfand sequences. Zbl 1159.58309 Čap, Andreas; Slovák, Jan; Souček, Vladimír 108 2001 Spectral analysis of nonlinear operators. Zbl 0268.47056 Fučik, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 87 1973 Fundaments of Hermitean Clifford analysis. I: Complex structure. Zbl 1131.30019 Brackx, Fred; Bureš, Jarolím; De Schepper, Hennie; Eelbode, David; Sommen, Frank; Souček, Vladímir 63 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. 58 2007 Rarita-Schwinger type operators in Clifford analysis. Zbl 1078.30041 Bureš, J.; Sommen, F.; Souček, V.; van Lancker, P. 42 2001 Dunkl operators and a family of realizations of \(\mathfrak{osp}(1|2)\). Zbl 1276.33021 De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V. 41 2012 The Howe dual pair in Hermitean Clifford analysis. Zbl 1201.30061 Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimir 39 2010 Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044 Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír 34 2015 Invariant resolutions for several Fueter operators. Zbl 1103.30031 Colombo, Fabrizio; Souček, Vladimir; Struppa, Daniele C. 31 2006 Symmetric analogues of Rarita-Schwinger equations. Zbl 1025.58013 Bureš, J.; Sommen, F.; Souček, V.; Van Lancker, P. 28 2002 Gelfand-Tsetlin bases for spherical monogenics in dimension 3. Zbl 1253.30056 Bock, Sebastian; Gürlebeck, Klaus; Lávička, Roman; Souček, Vladimír 25 2012 Morse-Sard theorem for real-analytic functions. Zbl 0235.26012 Souček, Jiří; Souček, Vladimír 23 1972 The Radon transform between monogenic and generalized slice monogenic functions. Zbl 1335.30017 Colombo, F.; Lávička, R.; Sabadini, I.; Souček, V. 23 2015 The Howe duality for the Dunkl version of the Dirac operator. Zbl 1404.17018 Ørsted, Bent; Somberg, Petr; Souček, Vladimír 21 2009 Ricci-corrected derivatives and invariant differential operators. Zbl 1082.58037 Calderbank, David M. J.; Diemer, Tammo; Souček, Vladimír 19 2005 Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation. Zbl 0969.53003 Čap, A.; Slovák, J.; Souček, V. 15 1997 The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043 Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 15 2011 Complexes of invariant operators in several quaternionic variables. Zbl 1184.30044 Bureš, J.; Souček, V. 15 2006 Fischer decompositions in Euclidean and Hermitean Clifford analysis. Zbl 1249.30135 Brackx, Fred; De Schepper, Hennie; Souček, Vladimír 14 2010 On a new normalization for tractor covariant derivatives. Zbl 1264.58029 Hammerl, Matthias; Somberg, Petr; Souček, Vladimír; Šilhan, Josef 14 2012 Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections. Zbl 1024.53007 Čap, A.; Slovák, J.; Souček, V. 13 1997 Subcomplexes in curved BGG-sequences. Zbl 1318.32044 Čap, Andreas; Souček, Vladimír 13 2012 Invariant operators of the first order on manifolds with a given parabolic structure. Zbl 0998.53021 Slovák, Jan; Souček, Vladimir 11 2000 Complex-quaternionic analysis applied to spin-1/2 massless fields. Zbl 0525.30039 Soucek, Vladimir 11 1983 The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30061 Delanghe, Richard; Lávička, Roman; Souček, Vladimír 11 2012 Curved Casimir operators and the BGG machinery. Zbl 1142.22008 Čap, Andreas; Souček, Vladimír 11 2007 Yang-Mills detour complexes and conformal geometry. Zbl 1141.58013 Gover, A. Rod; Somberg, Petr; Souček, Vladimír 11 2008 Relative BGG sequences. II: BGG machinery and invariant operators. Zbl 1418.17022 Čap, Andreas; Souček, Vladimír 11 2017 Gegenbauer polynomials and the Fueter theorem. Zbl 1307.30091 Eelbode, David; Souček, V.; Van Lancker, P. 10 2014 Orthogonal basis for spherical monogenics by step two branching. Zbl 1250.30048 Lávička, R.; Souček, V.; Van Lancker, P. 10 2012 Special tensors in the deformation theory of quadratic algebras for the classical Lie algebras. Zbl 1161.17006 Eastwood, Michael; Somberg, Petr; Souček, Vladimír 10 2007 Clifford analysis for higher spins. Zbl 0841.30038 Souček, Vladimír 9 1993 Higher spins and conformal invariance in Clifford analysis. Zbl 0876.58052 Souček, Vladimír 9 1996 The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. Zbl 1279.30051 De Bie, Hendrik; Somberg, Petr; Souček, Vladimir 9 2014 Elements of quaternionic analysis and Radon transform. Zbl 1190.30002 Bureš, J.; Lávička, R.; Souček, V. 9 2009 Invariant operators on manifolds with almost Hermitian symmetric structures. III: Standard operators. Zbl 0969.53004 Čap, Andreas; Slovák, Jan; Souček, Vladimír 8 2000 On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems. Zbl 1254.30083 Delanghe, Richard; Lávička, Roman; Souček, Vladimír 8 2011 Conformally invariant powers of the Dirac operator in Clifford analysis. Zbl 1201.30065 Eelbode, David; Souček, Vladimír 8 2010 Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. Zbl 1364.15016 Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 8 2014 The Clifford deformation of the Hermite semigroup. Zbl 1273.43007 De Bie, Hendrik; Førsted, Bent; Somberg, Petr; Souček, Vladimir 8 2013 Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. Zbl 1242.30041 Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 8 2011 Relative BGG sequence. I: Algebra. Zbl 1380.17009 Čap, Andreas; Souček, Vladimir 7 2016 Eigenvalues of conformally invariant operators on spheres. Zbl 0958.58024 Bureš, Jarolím; Souček, Vladimír 6 1999 Joseph ideals and harmonic analysis for \(\mathfrak{osp}(m|2n)\). Zbl 1370.17016 Coulembier, Kevin; Somberg, Petr; Souček, Vladimír 6 2014 Fischer decomposition in symplectic harmonic analysis. Zbl 1337.15021 Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 6 2014 Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. Zbl 1270.53024 Hammerl, M.; Somberg, P.; Souček, V.; Šilhan, J. 6 2012 Differential forms versus multi-vector functions in Hermitean Clifford analysis. Zbl 1244.30068 Brackx, Fred F.; De Schepper, Hennie; Souček, Vladimír 6 2011 Einführung in die Variationsrechnung. Übersetzung von Štefan Schwabík. Zbl 0384.49001 Fučík, Svatopluk; Nečas, Jindřich; Souček, Vladimír 5 1977 Fischer decomposition for \(\mathfrak{osp}(4|2)\)-monogenics in quaternionic Clifford analysis. Zbl 1361.30085 Brackx, Fred; De Schepper, Hennie; Eelbode, David; Lávička, Roman; Souček, Vladimir 5 2016 The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30075 Souček, Vladimír; Delanghe, Richard; Lávička, Roman 5 2012 Generalized hypercomplex analysis and its integral formulas. Zbl 0586.30043 Bureš, J.; Souček, V. 5 1985 BGG complexes in singular infinitesimal character for type A. Zbl 1430.17028 Pandžić, Pavle; Souček, Vladimír 5 2017 The nonexistence of a weak solution of Dirichlet’s problem for the functional of minimal surface on nonconvex domains. Zbl 0256.35030 Souček, V. 4 1971 Upper bound for the number of eigenvalues for nonlinear operators. Zbl 0263.58007 Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 4 1973 Residues in Clifford analysis. Zbl 0797.30038 Delanghe, R.; Sommen, F.; Souček, V. 4 1992 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 0252.47072 Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 4 1972 Representation theory in Clifford analysis. Zbl 1330.30009 Souček, Vladimír 4 2015 Conformally invariant operators via curved Casimirs: examples. Zbl 1208.53050 Čap, Andreas; Cover, A. Rod; Souček, Vladimír 4 2010 A note on Whittaker’s cardinal series in harmonic analysis. Zbl 0616.43006 Dodson, M. M.; Silva, A. M.; Soucek, V. 4 1986 A reciprocity law and the skew Pieri rule for the symplectic group. Zbl 1472.20097 Howe, Roger; Lávička, Roman; Lee, Soo Teck; Souček, Vladimír 4 2017 Monogenic differential forms. Zbl 0765.30032 Sommen, F.; Souček, V. 3 1992 On the structure of complex Clifford algebra. Zbl 1279.15020 Brackx, F.; De Schepper, H.; Souček, V. 3 2011 Different approaches to the complex of three Dirac operators. Zbl 1338.58025 Damiano, Alberto; Sabadini, Irene; Souček, Vladimir 3 2014 The generalized Dolbeault complex in two Clifford variables. Zbl 1126.58018 Krump, Lukáš; Souček, Vladimír 3 2007 Fundaments of quaternionic Clifford analysis. II: Splitting of equations. Zbl 1364.30056 Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 3 2017 Clifford analysis as a study of invariant operators. Zbl 1094.53502 Souček, Vladimír 2 2001 Note to nonlinear spectral theory: application to the nonlinear integral equations of the Lichtenstein type. Zbl 0273.45005 Fučik, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1973 Morse-Sard theorem in infinite dimensional Banach spaces and investigation of the set of all critical levels. Zbl 0291.58008 Fučik, Svatopluk; Kučera, Milan; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1974 Grading of spinor bundles and gravitating matter in noncommutative geometry. Zbl 0794.53055 Klimčík, C.; Pompoš, A.; Souček, V. 2 1994 Krasnoselskiĭ’s main bifurcation theorem. Zbl 0301.47041 Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1974 Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089 Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 2 2015 On generalized Cauchy Riemann equations on manifolds. Zbl 0575.32028 Bureš, Jarolím; Souček, Vladimír 2 1984 Dirac inequality for highest weight Harish-Chandra modules. I. Zbl 07662423 Pandžić, Pavle; Prlić, Ana; Souček, Vladimír; Tuček, Vít 2 2023 Generalized C-R equations on manifolds. Zbl 0602.58008 Souček, Vladimír 2 1986 On the structure of spinor-valued differential forms. Zbl 0726.53014 Delanghe, Richard; Souček, Vladimir 2 1992 Fischer decomposition for massless fields of spin 1 in dimension 4. Zbl 1468.30082 Brackx, F.; de Schepper, H.; Krump, L.; Souček, V. 2 2018 Subriemannian metrics and the metrizability of parabolic geometries. Zbl 1486.53021 Calderbank, David M. J.; Slovák, Jan; Souček, Vladimír 2 2021 General massless field equations for higher spin in dimension 4. Zbl 07869452 Lávička, Roman; Souček, Vladimír; Wang, Wei 2 2024 On the structure of spinor-valued differential forms. Zbl 0756.53007 Delanghe, Richard; Souček, Vladimir 1 1992 The Penrose transform and Clifford analysis. Zbl 0753.58033 Bureš, J.; Souček, V. 1 1991 The Penrose transform on isotropic Grassmannians. Zbl 0823.44005 Bureš, J.; Souček, V. 1 1994 Clifford analysis and its applications. Proceedings of the NATO advanced research workshop, Prague, Czech Republic, October 30–November 3, 2000. Zbl 0977.00025 1 2001 Strengthening upper bound for the number of critical levels of nonlinear functionals. Zbl 0253.58006 Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 1972 New infinite dimensional versions of Morse-Sard theorem. Zbl 0263.58006 Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 1972 The Penrose transform for Dirac equation. Zbl 0788.53071 Bureš, J.; Souček, V. 1 1993 The Morse-Sard theorem for real-analytic functions. Zbl 0314.57021 Souček, Jiří; Souček, Vladimír 1 1973 Monogenic plane waves and the \(W\)-functional calculus. Zbl 1350.30068 Colombo, Fabrizio; Lávička, Roman; Sabadini, Irene; Souček, Vladimír 1 2016 An explicit realization of spinor spaces and its application to Clifford analysis. Zbl 0746.53013 Delanghe, Richard; Sommen, Frank; Soucěk, Vladimir 1 1992 Hasse diagrams for parabolic geometries. Zbl 1047.53014 Krump, Lukáš; Souček, Vladimír 1 2003 Monogenic forms on manifolds. Zbl 0885.53050 Souček, Vladimír 1 1993 Hypercomplex differential forms applied to the De Rham and the Dolbeault complex. Zbl 0659.30042 Sommen, F.; Souček, V. 1 1985 Singular BGG sequences for the even orthogonal case. Zbl 1164.58317 Krump, Lukáš; Souček, Vladimír 1 2006 \({\mathbb{H}}\)-valued differential forms on \({\mathbb{H}}\). Zbl 0546.30040 Souček, Vladimír 1 1984 Invariant operators and Clifford analysis. Zbl 1221.30117 Souček, Vladimír 1 2001 Explicit formulae for monogenic projections. Zbl 1179.30051 Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimír 1 2008 I conferenza: Holomorphicity in quaternionic analysis. Zbl 0599.30077 Souček, V. 1 1984 Dirac inequality for highest weight Harish-Chandra modules. II. Zbl 1536.22031 Pandžić, Pavle; Prlić, Ana; Souček, Vladimír; Tuček, Vít 1 2023 General massless field equations for higher spin in dimension 4. Zbl 07869452 Lávička, Roman; Souček, Vladimír; Wang, Wei 2 2024 Dirac inequality for highest weight Harish-Chandra modules. I. Zbl 07662423 Pandžić, Pavle; Prlić, Ana; Souček, Vladimír; Tuček, Vít 2 2023 Dirac inequality for highest weight Harish-Chandra modules. II. Zbl 1536.22031 Pandžić, Pavle; Prlić, Ana; Souček, Vladimír; Tuček, Vít 1 2023 Subriemannian metrics and the metrizability of parabolic geometries. Zbl 1486.53021 Calderbank, David M. J.; Slovák, Jan; Souček, Vladimír 2 2021 Fischer decomposition for massless fields of spin 1 in dimension 4. Zbl 1468.30082 Brackx, F.; de Schepper, H.; Krump, L.; Souček, V. 2 2018 Relative BGG sequences. II: BGG machinery and invariant operators. Zbl 1418.17022 Čap, Andreas; Souček, Vladimír 11 2017 BGG complexes in singular infinitesimal character for type A. Zbl 1430.17028 Pandžić, Pavle; Souček, Vladimír 5 2017 A reciprocity law and the skew Pieri rule for the symplectic group. Zbl 1472.20097 Howe, Roger; Lávička, Roman; Lee, Soo Teck; Souček, Vladimír 4 2017 Fundaments of quaternionic Clifford analysis. II: Splitting of equations. Zbl 1364.30056 Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 3 2017 Relative BGG sequence. I: Algebra. Zbl 1380.17009 Čap, Andreas; Souček, Vladimir 7 2016 Fischer decomposition for \(\mathfrak{osp}(4|2)\)-monogenics in quaternionic Clifford analysis. Zbl 1361.30085 Brackx, Fred; De Schepper, Hennie; Eelbode, David; Lávička, Roman; Souček, Vladimir 5 2016 Monogenic plane waves and the \(W\)-functional calculus. Zbl 1350.30068 Colombo, Fabrizio; Lávička, Roman; Sabadini, Irene; Souček, Vladimír 1 2016 Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044 Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír 34 2015 The Radon transform between monogenic and generalized slice monogenic functions. Zbl 1335.30017 Colombo, F.; Lávička, R.; Sabadini, I.; Souček, V. 23 2015 Representation theory in Clifford analysis. Zbl 1330.30009 Souček, Vladimír 4 2015 Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089 Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 2 2015 Gegenbauer polynomials and the Fueter theorem. Zbl 1307.30091 Eelbode, David; Souček, V.; Van Lancker, P. 10 2014 The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. Zbl 1279.30051 De Bie, Hendrik; Somberg, Petr; Souček, Vladimir 9 2014 Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. Zbl 1364.15016 Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 8 2014 Joseph ideals and harmonic analysis for \(\mathfrak{osp}(m|2n)\). Zbl 1370.17016 Coulembier, Kevin; Somberg, Petr; Souček, Vladimír 6 2014 Fischer decomposition in symplectic harmonic analysis. Zbl 1337.15021 Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 6 2014 Different approaches to the complex of three Dirac operators. Zbl 1338.58025 Damiano, Alberto; Sabadini, Irene; Souček, Vladimir 3 2014 The Clifford deformation of the Hermite semigroup. Zbl 1273.43007 De Bie, Hendrik; Førsted, Bent; Somberg, Petr; Souček, Vladimir 8 2013 Dunkl operators and a family of realizations of \(\mathfrak{osp}(1|2)\). Zbl 1276.33021 De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V. 41 2012 Gelfand-Tsetlin bases for spherical monogenics in dimension 3. Zbl 1253.30056 Bock, Sebastian; Gürlebeck, Klaus; Lávička, Roman; Souček, Vladimír 25 2012 On a new normalization for tractor covariant derivatives. Zbl 1264.58029 Hammerl, Matthias; Somberg, Petr; Souček, Vladimír; Šilhan, Josef 14 2012 Subcomplexes in curved BGG-sequences. Zbl 1318.32044 Čap, Andreas; Souček, Vladimír 13 2012 The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30061 Delanghe, Richard; Lávička, Roman; Souček, Vladimír 11 2012 Orthogonal basis for spherical monogenics by step two branching. Zbl 1250.30048 Lávička, R.; Souček, V.; Van Lancker, P. 10 2012 Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. Zbl 1270.53024 Hammerl, M.; Somberg, P.; Souček, V.; Šilhan, J. 6 2012 The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30075 Souček, Vladimír; Delanghe, Richard; Lávička, Roman 5 2012 The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043 Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 15 2011 On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems. Zbl 1254.30083 Delanghe, Richard; Lávička, Roman; Souček, Vladimír 8 2011 Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. Zbl 1242.30041 Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 8 2011 Differential forms versus multi-vector functions in Hermitean Clifford analysis. Zbl 1244.30068 Brackx, Fred F.; De Schepper, Hennie; Souček, Vladimír 6 2011 On the structure of complex Clifford algebra. Zbl 1279.15020 Brackx, F.; De Schepper, H.; Souček, V. 3 2011 The Howe dual pair in Hermitean Clifford analysis. Zbl 1201.30061 Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimir 39 2010 Fischer decompositions in Euclidean and Hermitean Clifford analysis. Zbl 1249.30135 Brackx, Fred; De Schepper, Hennie; Souček, Vladimír 14 2010 Conformally invariant powers of the Dirac operator in Clifford analysis. Zbl 1201.30065 Eelbode, David; Souček, Vladimír 8 2010 Conformally invariant operators via curved Casimirs: examples. Zbl 1208.53050 Čap, Andreas; Cover, A. Rod; Souček, Vladimír 4 2010 The Howe duality for the Dunkl version of the Dirac operator. Zbl 1404.17018 Ørsted, Bent; Somberg, Petr; Souček, Vladimír 21 2009 Elements of quaternionic analysis and Radon transform. Zbl 1190.30002 Bureš, J.; Lávička, R.; Souček, V. 9 2009 Yang-Mills detour complexes and conformal geometry. Zbl 1141.58013 Gover, A. Rod; Somberg, Petr; Souček, Vladimír 11 2008 Explicit formulae for monogenic projections. Zbl 1179.30051 Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimír 1 2008 Fundaments of Hermitean Clifford analysis. I: Complex structure. Zbl 1131.30019 Brackx, Fred; Bureš, Jarolím; De Schepper, Hennie; Eelbode, David; Sommen, Frank; Souček, Vladímir 63 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. 58 2007 Curved Casimir operators and the BGG machinery. Zbl 1142.22008 Čap, Andreas; Souček, Vladimír 11 2007 Special tensors in the deformation theory of quadratic algebras for the classical Lie algebras. Zbl 1161.17006 Eastwood, Michael; Somberg, Petr; Souček, Vladimír 10 2007 The generalized Dolbeault complex in two Clifford variables. Zbl 1126.58018 Krump, Lukáš; Souček, Vladimír 3 2007 Invariant resolutions for several Fueter operators. Zbl 1103.30031 Colombo, Fabrizio; Souček, Vladimir; Struppa, Daniele C. 31 2006 Complexes of invariant operators in several quaternionic variables. Zbl 1184.30044 Bureš, J.; Souček, V. 15 2006 Singular BGG sequences for the even orthogonal case. Zbl 1164.58317 Krump, Lukáš; Souček, Vladimír 1 2006 Ricci-corrected derivatives and invariant differential operators. Zbl 1082.58037 Calderbank, David M. J.; Diemer, Tammo; Souček, Vladimír 19 2005 Hasse diagrams for parabolic geometries. Zbl 1047.53014 Krump, Lukáš; Souček, Vladimír 1 2003 Symmetric analogues of Rarita-Schwinger equations. Zbl 1025.58013 Bureš, J.; Sommen, F.; Souček, V.; Van Lancker, P. 28 2002 Bernstein-Gelfand-Gelfand sequences. Zbl 1159.58309 Čap, Andreas; Slovák, Jan; Souček, Vladimír 108 2001 Rarita-Schwinger type operators in Clifford analysis. Zbl 1078.30041 Bureš, J.; Sommen, F.; Souček, V.; van Lancker, P. 42 2001 Clifford analysis as a study of invariant operators. Zbl 1094.53502 Souček, Vladimír 2 2001 Clifford analysis and its applications. Proceedings of the NATO advanced research workshop, Prague, Czech Republic, October 30–November 3, 2000. Zbl 0977.00025 1 2001 Invariant operators and Clifford analysis. Zbl 1221.30117 Souček, Vladimír 1 2001 Invariant operators of the first order on manifolds with a given parabolic structure. Zbl 0998.53021 Slovák, Jan; Souček, Vladimir 11 2000 Invariant operators on manifolds with almost Hermitian symmetric structures. III: Standard operators. Zbl 0969.53004 Čap, Andreas; Slovák, Jan; Souček, Vladimír 8 2000 Eigenvalues of conformally invariant operators on spheres. Zbl 0958.58024 Bureš, Jarolím; Souček, Vladimír 6 1999 Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation. Zbl 0969.53003 Čap, A.; Slovák, J.; Souček, V. 15 1997 Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections. Zbl 1024.53007 Čap, A.; Slovák, J.; Souček, V. 13 1997 Higher spins and conformal invariance in Clifford analysis. Zbl 0876.58052 Souček, Vladimír 9 1996 Grading of spinor bundles and gravitating matter in noncommutative geometry. Zbl 0794.53055 Klimčík, C.; Pompoš, A.; Souček, V. 2 1994 The Penrose transform on isotropic Grassmannians. Zbl 0823.44005 Bureš, J.; Souček, V. 1 1994 Clifford analysis for higher spins. Zbl 0841.30038 Souček, Vladimír 9 1993 The Penrose transform for Dirac equation. Zbl 0788.53071 Bureš, J.; Souček, V. 1 1993 Monogenic forms on manifolds. Zbl 0885.53050 Souček, 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 0747.53001 Delanghe, R.; Sommen, F.; Souček, V. 420 1992 Residues in Clifford analysis. Zbl 0797.30038 Delanghe, R.; Sommen, F.; Souček, V. 4 1992 Monogenic differential forms. Zbl 0765.30032 Sommen, F.; Souček, V. 3 1992 On the structure of spinor-valued differential forms. Zbl 0726.53014 Delanghe, Richard; Souček, Vladimir 2 1992 On the structure of spinor-valued differential forms. Zbl 0756.53007 Delanghe, Richard; Souček, Vladimir 1 1992 An explicit realization of spinor spaces and its application to Clifford analysis. Zbl 0746.53013 Delanghe, Richard; Sommen, Frank; Soucěk, Vladimir 1 1992 The Penrose transform and Clifford analysis. Zbl 0753.58033 Bureš, J.; Souček, V. 1 1991 A note on Whittaker’s cardinal series in harmonic analysis. Zbl 0616.43006 Dodson, M. M.; Silva, A. M.; Soucek, V. 4 1986 Generalized C-R equations on manifolds. Zbl 0602.58008 Souček, Vladimír 2 1986 Generalized hypercomplex analysis and its integral formulas. Zbl 0586.30043 Bureš, J.; Souček, V. 5 1985 Hypercomplex differential forms applied to the De Rham and the Dolbeault complex. Zbl 0659.30042 Sommen, F.; Souček, V. 1 1985 On generalized Cauchy Riemann equations on manifolds. Zbl 0575.32028 Bureš, Jarolím; Souček, Vladimír 2 1984 \({\mathbb{H}}\)-valued differential forms on \({\mathbb{H}}\). Zbl 0546.30040 Souček, Vladimír 1 1984 I conferenza: Holomorphicity in quaternionic analysis. Zbl 0599.30077 Souček, V. 1 1984 Complex-quaternionic analysis applied to spin-1/2 massless fields. Zbl 0525.30039 Soucek, Vladimir 11 1983 Einführung in die Variationsrechnung. Übersetzung von Štefan Schwabík. Zbl 0384.49001 Fučík, 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 0291.58008 Fučik, Svatopluk; Kučera, Milan; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1974 Krasnoselskiĭ’s main bifurcation theorem. Zbl 0301.47041 Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1974 Spectral analysis of nonlinear operators. Zbl 0268.47056 Fučik, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 87 1973 Upper bound for the number of eigenvalues for nonlinear operators. Zbl 0263.58007 Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 4 1973 Note to nonlinear spectral theory: application to the nonlinear integral equations of the Lichtenstein type. Zbl 0273.45005 Fučik, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 2 1973 The Morse-Sard theorem for real-analytic functions. Zbl 0314.57021 Souček, Jiří; Souček, Vladimír 1 1973 Morse-Sard theorem for real-analytic functions. Zbl 0235.26012 Souček, Jiří; Souček, Vladimír 23 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 0252.47072 Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 4 1972 Strengthening upper bound for the number of critical levels of nonlinear functionals. Zbl 0253.58006 Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 1972 New infinite dimensional versions of Morse-Sard theorem. Zbl 0263.58006 Fučík, 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 0256.35030 Souček, V. 4 1971 all cited Publications top 5 cited Publications all top 5 Cited by 661 Authors 98 Sommen, Franciscus 56 Brackx, Fred F. 52 De Schepper, Hennie 46 Soucek, Vladimir 43 Eelbode, David 39 Sabadini, Irene 34 De Bie, Hendrik 31 Colombo, Fabrizio 30 Gover, Ashwin Rod 28 Čap, Andreas 26 Kraußhar, Rolf Sören 24 Bory Reyes, Juan 23 Lávička, Roman 21 Abreu-Blaya, Ricardo 21 Qian, Tao 21 Ryan, John 21 Vieira, Nelson 18 Kähler, Uwe 18 Peña Peña, Dixan 18 Somberg, Petr 16 Wang, Wei 15 Cerejeiras, Paula 15 Ren, Guangbin 13 Adán, Alí Guzmán 13 Ding, Chao 13 Ferreira, Milton 13 Raeymaekers, Tim 12 Constales, Denis 11 Ku, Min 11 Mejjaoli, Hatem 10 De Martino, Antonino 10 Gu, Longfei 10 Kobayashi, Toshiyuki 10 Orelma, Heikki 10 Rodrigues, Maria Manuela 10 Van Lancker, Peter 9 Delanghe, Richard 9 Drábek, Pavel 9 Gürlebeck, Klaus 9 Hammerl, Matthias 9 He, Fuli 9 Malonek, Helmuth Robert 9 Morais, João Pedro 9 Ørsted, Bent 9 Šilhan, Josef 8 Alpay, Daniel Aron 8 Cação, Isabel 8 Falcão, Maria Irene 8 Shapiro, Michael V. 7 Ben Saïd, Salem 7 Damiano, Alberto 7 De Knock, Bram 7 De Schepper, Nele 7 Neusser, Katharina 7 Salač, Tomáš 7 Vinet, Luc 7 Wang, Haiyan 6 Bureš, Jarolím 6 Calderbank, David M. J. 6 Coulembier, Kevin 6 Dang, Pei 6 Eastwood, Michael G. 6 Fučik, Svatopluk 6 Grob, Dennis 6 Kou, Kit-Ian 6 Luna-Elizarrarás, María Elena 6 Oste, Roy 6 Pinton, Stefano 6 Sagerschnig, Katja 6 Slovák, Jan 6 Struppa, Daniele Carlo 6 Van der Jeugt, Joris 6 Yang, Yan 5 Bernstein, Swanhild 5 de Almeida, Regina 5 De Ridder, Hilde 5 Diki, Kamal 5 Fei, Minggang 5 Genest, Vincent X. 5 Homma, Yasushi 5 Hu, Kaibo 5 Juhl, Andreas 5 Kimsey, David Patrick 5 Leitner, Felipe 5 Li, Shanshan 5 Radoux, Fabian 5 Roels, Matthias 5 Shi, Yun 5 Soucek, Jiri 5 Walter, Raymond 5 Zhang, Zhongxiang 4 Armstrong, Stuart 4 Bock, Sebastian 4 Branson, Thomas Patrick 4 Clerc, Jean-Louis 4 Du, Jinyuan 4 Frahm, Jan 4 Haller, Stefan 4 Janssens, Tim 4 Kang, Qianqian ...and 561 more Authors all top 5 Cited in 205 Serials 97 Advances in Applied Clifford Algebras 52 Complex Analysis and Operator Theory 42 Journal of Mathematical Analysis and Applications 34 Mathematical Methods in the Applied Sciences 34 Journal of Geometry and Physics 22 The Journal of Geometric Analysis 18 Annali di Matematica Pura ed Applicata. Serie Quarta 17 Journal of Functional Analysis 17 Differential Geometry and its Applications 16 Journal of Mathematical Physics 15 Annals of Global Analysis and Geometry 14 Advances in Mathematics 14 Complex Variables and Elliptic Equations 13 Computational Methods and Function Theory 12 Journal of Differential Equations 11 Czechoslovak Mathematical Journal 11 Results in Mathematics 11 Transactions of the American Mathematical Society 11 International Journal of Mathematics 10 Communications in Mathematical Physics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Boundary Value Problems 9 Applied Mathematics and Computation 9 Journal of Algebra 9 Proceedings of the American Mathematical Society 9 Nonlinear Analysis. Theory, Methods & Applications 8 Journal of High Energy Physics 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Zeitschrift für Analysis und ihre Anwendungen 6 Letters in Mathematical Physics 6 Journal für die Reine und Angewandte Mathematik 6 Mathematische Annalen 6 Mathematische Nachrichten 6 The Journal of Fourier Analysis and Applications 6 Transformation Groups 5 Journal of Approximation Theory 5 Memoirs of the American Mathematical Society 5 Journal of Lie Theory 5 Integral Transforms and Special Functions 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Pseudo-Differential Operators and Applications 4 Journal of Applied Mathematics and Mechanics 4 Aplikace Matematiky 4 Linear Algebra and its Applications 4 Analysis and Mathematical Physics 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Physics Letters. A 3 Geometriae Dedicata 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Computational and Applied Mathematics 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Chinese Annals of Mathematics. Series B 3 Revista Matemática Iberoamericana 3 Journal of Mathematical Sciences (New York) 3 Acta Mathematica Sinica. English Series 3 Communications in Contemporary Mathematics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Milan Journal of Mathematics 3 Central European Journal of Mathematics 3 Science China. Mathematics 2 Analysis Mathematica 2 Classical and Quantum Gravity 2 International Journal of Control 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Chaos, Solitons and Fractals 2 Compositio Mathematica 2 Integral Equations and Operator Theory 2 Journal of Number Theory 2 Journal of Pure and Applied Algebra 2 Pacific Journal of Mathematics 2 Tokyo Journal of Mathematics 2 Annals of Physics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Indagationes Mathematicae. New Series 2 Journal of Mathematical Imaging and Vision 2 Potential Analysis 2 Applied Mathematics. Series B (English Edition) 2 Calculus of Variations and Partial Differential Equations 2 Applied and Computational Harmonic Analysis 2 Selecta Mathematica. New Series 2 Journal of Inequalities and Applications 2 Fractional Calculus & Applied Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Evolution Equations 2 Foundations of Computational Mathematics 2 Communications on Pure and Applied Analysis 2 Oberwolfach Reports 2 Journal of Physics A: Mathematical and Theoretical 2 Banach Journal of Mathematical Analysis 2 Journal of Applied Analysis and Computation 2 Advances in Nonlinear Analysis 1 Modern Physics Letters A 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics ...and 105 more Serials all top 5 Cited in 54 Fields 413 Functions of a complex variable (30-XX) 176 Differential geometry (53-XX) 173 Partial differential equations (35-XX) 132 Global analysis, analysis on manifolds (58-XX) 94 Linear and multilinear algebra; matrix theory (15-XX) 93 Operator theory (47-XX) 78 Harmonic analysis on Euclidean spaces (42-XX) 69 Several complex variables and analytic spaces (32-XX) 66 Topological groups, Lie groups (22-XX) 66 Quantum theory (81-XX) 54 Nonassociative rings and algebras (17-XX) 50 Special functions (33-XX) 44 Functional analysis (46-XX) 36 Ordinary differential equations (34-XX) 35 Integral transforms, operational calculus (44-XX) 29 Abstract harmonic analysis (43-XX) 25 Potential theory (31-XX) 21 Number theory (11-XX) 19 Group theory and generalizations (20-XX) 19 Real functions (26-XX) 19 Relativity and gravitational theory (83-XX) 14 Numerical analysis (65-XX) 13 Integral equations (45-XX) 12 Information and communication theory, circuits (94-XX) 11 Mechanics of particles and systems (70-XX) 11 Fluid mechanics (76-XX) 10 Algebraic geometry (14-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Combinatorics (05-XX) 8 Manifolds and cell complexes (57-XX) 7 Geometry (51-XX) 7 Mechanics of deformable solids (74-XX) 7 Optics, electromagnetic theory (78-XX) 6 Associative rings and algebras (16-XX) 6 Systems theory; control (93-XX) 5 Difference and functional equations (39-XX) 4 Category theory; homological algebra (18-XX) 3 Approximations and expansions (41-XX) 3 Algebraic topology (55-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 \(K\)-theory (19-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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