Edit Profile Soucek, Vladimir Compute Distance To: Compute Author ID: soucek.vladimir Published as: Soucek, V.; Soucek, Vladimir; Soucěk, Vladimir; Souček, V.; Souček, Vladimir; Souček, Vladimír; Souček, Vladímir Documents Indexed: 138 Publications since 1970, including 17 Books all top 5 Co-Authors 19 single-authored 24 Bureš, Jarolím 23 Brackx, Fred F. 22 De Schepper, Hennie 20 Lávička, Roman 16 Soucek, Jiri 13 Eelbode, David 11 Fučik, Svatopluk 11 Sommen, Franciscus 10 Delanghe, Richard 10 Nečas, Jindřich 10 Somberg, Petr 9 Čap, Andreas 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, Maurice M. 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 Ferreira, Artur Vaz 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 Silva, Antônio M. P. 1 Stará, Jana 1 Struppa, Daniele Carlo all top 5 Serials 15 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 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 Textos de Matemática. Série B 1 NATO Science Series II: Mathematics, Physics and Chemistry all top 5 Fields 64 Functions of a complex variable (30-XX) 44 Differential geometry (53-XX) 44 Global analysis, analysis on manifolds (58-XX) 20 Partial differential equations (35-XX) 16 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) 13 Operator theory (47-XX) 11 Nonassociative rings and algebras (17-XX) 8 Quantum theory (81-XX) 7 Topological groups, Lie groups (22-XX) 7 Manifolds and cell complexes (57-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Special functions (33-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 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 Combinatorics (05-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 88 Publications have been cited 1,087 times in 661 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. 275 1992 Bernstein-Gelfand-Gelfand sequences. Zbl 1159.58309Čap, Andreas; Slovák, Jan; Souček, Vladimír 79 2001 Spectral analysis of nonlinear operators. Zbl 0268.47056Fučik, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 72 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 The Howe dual pair in Hermitean Clifford analysis. Zbl 1201.30061Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimir 35 2010 Rarita-Schwinger type operators in Clifford analysis. Zbl 1078.30041Bureš, J.; Sommen, F.; Souček, V.; van Lancker, P. 33 2001 Dunkl operators and a family of realizations of \(\mathfrak{osp}(1|2)\). Zbl 1276.33021De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V. 28 2012 Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír 23 2015 Symmetric analogues of Rarita-Schwinger equations. Zbl 1025.58013Bureš, J.; Sommen, F.; Souček, V.; Van Lancker, P. 23 2002 Invariant resolutions for several Fueter operators. Zbl 1103.30031Colombo, Fabrizio; Souček, Vladimir; Struppa, Daniele C. 22 2006 Gelfand-Tsetlin bases for spherical monogenics in dimension 3. Zbl 1253.30056Bock, Sebastian; Gürlebeck, Klaus; Lávička, Roman; Souček, Vladimír 15 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 Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 14 2011 The Howe duality for the Dunkl version of the Dirac operator. Zbl 1404.17018Ørsted, Bent; Somberg, Petr; Souček, Vladimír 14 2009 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 The Radon transform between monogenic and generalized slice monogenic functions. Zbl 1335.30017Colombo, F.; Lávička, R.; Sabadini, I.; Souček, V. 10 2015 On a new normalization for tractor covariant derivatives. Zbl 1264.58029Hammerl, Matthias; Somberg, Petr; Souček, Vladimír; Šilhan, Josef 10 2012 Subcomplexes in curved BGG-sequences. Zbl 1318.32044Čap, Andreas; Souček, Vladimír 10 2012 Fischer decompositions in Euclidean and Hermitean Clifford analysis. Zbl 1249.30135Brackx, Fred; De Schepper, Hennie; Souček, Vladimír 10 2010 Complexes of invariant operators in several quaternionic variables. Zbl 1184.30044Bureš, J.; Souček, V. 10 2006 Orthogonal basis for spherical monogenics by step two branching. Zbl 1250.30048Lávička, R.; Souček, V.; Van Lancker, P. 9 2012 Yang-Mills detour complexes and conformal geometry. Zbl 1141.58013Gover, A. Rod; Somberg, Petr; Souček, Vladimír 9 2008 Invariant operators on manifolds with almost Hermitian symmetric structures. III: Standard operators. Zbl 0969.53004Čap, Andreas; Slovák, Jan; Souček, Vladimír 9 2000 Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections. Zbl 1024.53007Čap, A.; Slovák, J.; Souček, V. 9 1997 Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. Zbl 1364.15016Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 8 2014 The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. Zbl 1279.30051De Bie, Hendrik; Somberg, Petr; Souček, Vladimir 8 2014 Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. Zbl 1242.30041Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 8 2011 Conformally invariant powers of the Dirac operator in Clifford analysis. Zbl 1201.30065Eelbode, David; Souček, Vladimír 8 2010 Special tensors in the deformation theory of quadratic algebras for the classical Lie algebras. Zbl 1161.17006Eastwood, Michael; Somberg, Petr; Souček, Vladimír 8 2007 Invariant operators of the first order on manifolds with a given parabolic structure. Zbl 0998.53021Slovák, Jan; Souček, Vladimir 8 2000 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 Relative BGG sequences. II: BGG machinery and invariant operators. Zbl 1418.17022Čap, Andreas; Souček, Vladimír 6 2017 Fischer decomposition in symplectic harmonic analysis. Zbl 1337.15021Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 6 2014 Elements of quaternionic analysis and Radon transform. Zbl 1190.30002Bureš, J.; Lávička, R.; Souček, V. 6 2009 Relative BGG sequence. I: Algebra. Zbl 1380.17009Čap, Andreas; Souček, Vladimir 5 2016 Joseph ideals and harmonic analysis for \(\mathfrak{osp}(m|2n)\). Zbl 1370.17016Coulembier, Kevin; Somberg, Petr; Souček, Vladimír 5 2014 Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. Zbl 1270.53024Hammerl, M.; Somberg, P.; Souček, V.; Šilhan, J. 5 2012 Differential forms versus multi-vector functions in Hermitean Clifford analysis. Zbl 1244.30068Brackx, Fred F.; De Schepper, Hennie; Souček, Vladimír 5 2011 Higher spins and conformal invariance in Clifford analysis. Zbl 0876.58052Souček, Vladimír 5 1996 Clifford analysis for higher spins. Zbl 0841.30038Souček, Vladimír 5 1993 Generalized hypercomplex analysis and its integral formulas. Zbl 0586.30043Bureš, J.; Souček, V. 5 1985 Einführung in die Variationsrechnung. Übersetzung von Štefan Schwabík. Zbl 0384.49001Fučík, Svatopluk; Nečas, Jindřich; Souček, Vladimír 5 1977 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 The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30061Delanghe, Richard; Lávička, Roman; Souček, Vladimír 4 2012 A note on Whittaker’s cardinal series in harmonic analysis. Zbl 0616.43006Dodson, M. M.; Silva, A. M.; Soucek, V. 4 1986 BGG complexes in singular infinitesimal character for type A. Zbl 1430.17028Pandžić, Pavle; 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 A reciprocity law and the skew Pieri rule for the symplectic group. Zbl 06703770Howe, Roger; Lávička, Roman; Lee, Soo Teck; Souček, Vladimír 3 2017 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 The Clifford deformation of the Hermite semigroup. Zbl 1273.43007De Bie, Hendrik; Førsted, Bent; Somberg, Petr; Souček, Vladimir 3 2013 The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30075Souček, Vladimír; Delanghe, Richard; Lávička, Roman 3 2012 Conformally invariant operators via curved Casimirs: examples. Zbl 1208.53050Čap, Andreas; Cover, A. Rod; Souček, Vladimír 3 2010 Residues in Clifford analysis. Zbl 0797.30038Delanghe, R.; Sommen, F.; Souček, V. 3 1992 Monogenic differential forms. Zbl 0765.30032Sommen, F.; Souček, V. 3 1992 Upper bound for the number of eigenvalues for nonlinear operators. Zbl 0263.58007Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 3 1973 Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 2 2015 Clifford analysis as a study of invariant operators. Zbl 1094.53502Souček, Vladimír 2 2001 Eigenvalues of conformally invariant operators on spheres. Zbl 0958.58024Bureš, Jarolím; Souček, Vladimír 2 1999 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 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 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 Monogenic plane waves and the \(W\)-functional calculus. Zbl 1350.30068Colombo, Fabrizio; Lávička, Roman; Sabadini, Irene; Souček, Vladimír 1 2016 Representation theory in Clifford analysis. Zbl 1330.30009Souček, Vladimír 1 2015 On the structure of complex Clifford algebra. Zbl 1279.15020Brackx, F.; De Schepper, H.; Souček, V. 1 2011 The generalized Dolbeault complex in two Clifford variables. Zbl 1126.58018Krump, Lukáš; Souček, Vladimír 1 2007 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 Invariant operators and Clifford analysis. Zbl 1221.30117Souček, Vladimír 1 2001 Monogenic forms on manifolds. Zbl 0885.53050Souček, Vladimír 1 1993 On the structure of spinor-valued differential forms. Zbl 0756.53007Delanghe, Richard; Souček, Vladimir 1 1992 An explicit realization of spinor spaces and its application to Clifford analysis. Zbl 0746.53013Delanghe, Richard; Sommen, Frank; Soucěk, Vladimir 1 1992 Generalized C-R equations on manifolds. Zbl 0602.58008Souček, Vladimír 1 1986 Hypercomplex differential forms applied to the De Rham and the Dolbeault complex. Zbl 0659.30042Sommen, F.; Souček, V. 1 1985 I conferenza: Holomorphicity in quaternionic analysis. Zbl 0599.30077Souček, V. 1 1984 On generalized Cauchy Riemann equations on manifolds. Zbl 0575.32028Bureš, Jarolím; Souček, Vladimír 1 1984 \({\mathbb{H}}\)-valued differential forms on \({\mathbb{H}}\). Zbl 0546.30040Souček, Vladimír 1 1984 On the spectrum of a nonlinear operator. Zbl 0329.47023Souček, Jiří; Souček, Vladimír 1 1974 Krasnoselskiĭ’s main bifurcation theorem. Zbl 0301.47041Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 1974 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 1 1974 The Morse-Sard theorem for real-analytic functions. Zbl 0314.57021Souček, Jiří; Souček, Vladimír 1 1973 New infinite dimensional versions of Morse-Sard theorem. Zbl 0263.58006Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 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 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 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 A reciprocity law and the skew Pieri rule for the symplectic group. Zbl 06703770Howe, Roger; Lávička, Roman; Lee, Soo Teck; Souček, Vladimír 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 23 2015 The Radon transform between monogenic and generalized slice monogenic functions. Zbl 1335.30017Colombo, F.; Lávička, R.; Sabadini, I.; Souček, V. 10 2015 Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 2 2015 Representation theory in Clifford analysis. Zbl 1330.30009Souček, Vladimír 1 2015 Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. Zbl 1364.15016Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. 8 2014 The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. Zbl 1279.30051De Bie, Hendrik; Somberg, Petr; Souček, Vladimir 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 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. 28 2012 Gelfand-Tsetlin bases for spherical monogenics in dimension 3. Zbl 1253.30056Bock, Sebastian; Gürlebeck, Klaus; Lávička, Roman; Souček, Vladimír 15 2012 On a new normalization for tractor covariant derivatives. Zbl 1264.58029Hammerl, Matthias; Somberg, Petr; Souček, Vladimír; Šilhan, Josef 10 2012 Subcomplexes in curved BGG-sequences. Zbl 1318.32044Čap, Andreas; Souček, Vladimír 10 2012 Orthogonal basis for spherical monogenics by step two branching. Zbl 1250.30048Lávička, R.; Souček, V.; Van Lancker, P. 9 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 Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30061Delanghe, Richard; Lávička, Roman; Souček, Vladimír 4 2012 The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30075Souček, Vladimír; Delanghe, Richard; Lávička, Roman 3 2012 The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 14 2011 Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. Zbl 1242.30041Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V. 8 2011 On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems. Zbl 1254.30083Delanghe, Richard; Lávička, Roman; Souček, Vladimír 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 10 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. 6 2009 Yang-Mills detour complexes and conformal geometry. Zbl 1141.58013Gover, A. Rod; Somberg, Petr; Souček, Vladimír 9 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 1 2007 Invariant resolutions for several Fueter operators. Zbl 1103.30031Colombo, Fabrizio; Souček, Vladimir; Struppa, Daniele C. 22 2006 Complexes of invariant operators in several quaternionic variables. Zbl 1184.30044Bureš, J.; Souček, V. 10 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. 23 2002 Bernstein-Gelfand-Gelfand sequences. Zbl 1159.58309Čap, Andreas; Slovák, Jan; Souček, Vladimír 79 2001 Rarita-Schwinger type operators in Clifford analysis. Zbl 1078.30041Bureš, J.; Sommen, F.; Souček, V.; van Lancker, P. 33 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 9 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 2 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. 9 1997 Higher spins and conformal invariance in Clifford analysis. Zbl 0876.58052Souček, Vladimír 5 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 5 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. 275 1992 Residues in Clifford analysis. Zbl 0797.30038Delanghe, R.; Sommen, F.; Souček, V. 3 1992 Monogenic differential forms. Zbl 0765.30032Sommen, F.; Souček, V. 3 1992 On the structure of spinor-valued differential forms. Zbl 0726.53014Delanghe, Richard; Souček, Vladimir 2 1992 On the structure of spinor-valued differential forms. Zbl 0756.53007Delanghe, Richard; Souček, Vladimir 1 1992 An explicit realization of spinor spaces and its application to Clifford analysis. Zbl 0746.53013Delanghe, Richard; Sommen, Frank; Soucěk, 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 I conferenza: Holomorphicity in quaternionic analysis. Zbl 0599.30077Souček, V. 1 1984 On generalized Cauchy Riemann equations on manifolds. Zbl 0575.32028Bureš, Jarolím; Souček, Vladimír 1 1984 \({\mathbb{H}}\)-valued differential forms on \({\mathbb{H}}\). Zbl 0546.30040Souček, Vladimír 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 On the spectrum of a nonlinear operator. Zbl 0329.47023Souček, Jiří; Souček, Vladimír 1 1974 Krasnoselskiĭ’s main bifurcation theorem. Zbl 0301.47041Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 1974 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 1 1974 Spectral analysis of nonlinear operators. Zbl 0268.47056Fučik, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 72 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 New infinite dimensional versions of Morse-Sard theorem. Zbl 0263.58006Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír 1 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 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 512 Authors 87 Sommen, Franciscus 52 Brackx, Fred F. 48 De Schepper, Hennie 43 Soucek, Vladimir 39 Eelbode, David 27 De Bie, Hendrik 27 Sabadini, Irene 23 Gover, Ashwin Rod 21 Bory Reyes, Juan 21 Čap, Andreas 21 Lávička, Roman 18 Abreu-Blaya, Ricardo 18 Qian, Tao 17 Colombo, Fabrizio 17 Somberg, Petr 15 Peña Peña, Dixan 14 Kähler, Uwe 14 Kraußhar, Rolf Sören 12 De Schepper, Nele 12 Raeymaekers, Tim 12 Wang, Wei 11 Constales, Denis 11 Ryan, John Gerard 10 Cerejeiras, Paula 10 Ren, Guangbin 10 Van Lancker, Peter 10 Vieira, Nelson 9 Delanghe, Richard 9 Drábek, Pavel 9 Kobayashi, Toshiyuki 8 Šilhan, Josef 7 Adán, Alí Guzmán 7 Damiano, Alberto 7 Ding, Chao 7 Gu, Longfei 7 Gürlebeck, Klaus 7 Hammerl, Matthias 7 Ku, Min 7 Ørsted, Bent 7 Salač, Tomáš 7 Vinet, Luc 6 Bureš, Jarolím 6 Cação, Isabel 6 De Knock, Bram 6 Falcão, Maria Irene 6 Fučik, Svatopluk 6 Grob, Dennis 6 He, Fuli 6 Kou, Kit-Ian 6 Malonek, Helmuth Robert 6 Morais, João Pedro 6 Orelma, Heikki 6 Shapiro, Michael V. 6 Wang, Haiyan 5 Alpay, Daniel Aron 5 Ben Saïd, Salem 5 Bernstein, Swanhild 5 Calderbank, David M. J. 5 Coulembier, Kevin 5 Dang, Pei 5 Genest, Vincent X. 5 Mejjaoli, Hatem 5 Roels, Matthias 5 Ryan, John A. 5 Sagerschnig, Katja 5 Schepper, Nele De 5 Soucek, Jiri 5 Struppa, Daniele Carlo 5 Yang, Yan 4 Armstrong, Stuart 4 Branson, Thomas Patrick 4 De Ridder, Hilde 4 Ferreira, Milton 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 Neusser, Katharina 4 Pevzner, Michael 4 Radoux, Fabian 4 Slovák, Jan 4 Waldron, Andrew K. 4 Walter, Raymond 4 Zhang, Zhongxiang 3 Binding, Paul Anthony 3 Bock, Sebastian 3 Cnops, Jan 3 de Almeida, Regina 3 Dong, Baohua 3 Du, Jinyuan 3 Eastwood, Michael G. 3 Fei, Minggang 3 Ferreira, M. P. 3 Furi, Massimo 3 Janssens, Tim 3 Kozlov, Valeriĭ Vasil’evich 3 Kubo, Toshihisa ...and 412 more Authors all top 5 Cited in 150 Serials 64 Advances in Applied Clifford Algebras 39 Complex Analysis and Operator Theory 38 Journal of Mathematical Analysis and Applications 32 Journal of Geometry and Physics 17 Differential Geometry and its Applications 15 Mathematical Methods in the Applied Sciences 15 Journal of Functional Analysis 14 Journal of Mathematical Physics 14 The Journal of Geometric Analysis 13 Computational Methods and Function Theory 12 Annali di Matematica Pura ed Applicata. 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Mathematica 1 Annales de l’Institut Fourier 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 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 50 more Serials all top 5 Cited in 51 Fields 300 Functions of a complex variable (30-XX) 140 Differential geometry (53-XX) 113 Partial differential equations (35-XX) 94 Global analysis, analysis on manifolds (58-XX) 67 Linear and multilinear algebra; matrix theory (15-XX) 58 Operator theory (47-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 48 Quantum theory (81-XX) 47 Several complex variables and analytic spaces (32-XX) 44 Topological groups, Lie groups (22-XX) 37 Nonassociative rings and algebras (17-XX) 35 Functional analysis (46-XX) 34 Special functions (33-XX) 30 Ordinary differential equations (34-XX) 24 Integral transforms, operational calculus (44-XX) 22 Potential theory (31-XX) 19 Abstract harmonic analysis (43-XX) 17 Relativity and gravitational theory (83-XX) 16 Number theory (11-XX) 13 Group theory and generalizations (20-XX) 12 Integral equations (45-XX) 12 Information and communication theory, circuits (94-XX) 10 Real functions (26-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Algebraic geometry (14-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 7 Mechanics of particles and systems (70-XX) 4 Category theory; homological algebra (18-XX) 4 Difference and functional equations (39-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 4 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Algebraic topology (55-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 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year