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Author ID: soucek.vladimir Recent zbMATH articles by "Soucek, Vladimir"
Published as: Souček, Vladimír; Souček, V.; Souček, Vladimir; Soucěk, Vladimir; Soucek, Vladimir; Souček, Vladímir; Soucek, V.
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 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

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 1,374 times in 827 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.
374
1992
Bernstein-Gelfand-Gelfand sequences. Zbl 1159.58309
Čap, Andreas; Slovák, Jan; Souček, Vladimír
100
2001
Spectral analysis of nonlinear operators. Zbl 0268.47056
Fučik, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír
73
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
61
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
Dunkl operators and a family of realizations of \(\mathfrak{osp}(1|2)\). Zbl 1276.33021
De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V.
39
2012
Rarita-Schwinger type operators in Clifford analysis. Zbl 1078.30041
Bureš, J.; Sommen, F.; Souček, V.; van Lancker, P.
38
2001
The Howe dual pair in Hermitean Clifford analysis. Zbl 1201.30061
Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimir
38
2010
Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044
Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír
32
2015
Invariant resolutions for several Fueter operators. Zbl 1103.30031
Colombo, Fabrizio; Souček, Vladimir; Struppa, Daniele C.
29
2006
Symmetric analogues of Rarita-Schwinger equations. Zbl 1025.58013
Bureš, J.; Sommen, F.; Souček, V.; Van Lancker, P.
27
2002
The Radon transform between monogenic and generalized slice monogenic functions. Zbl 1335.30017
Colombo, F.; Lávička, R.; Sabadini, I.; Souček, V.
23
2015
Gelfand-Tsetlin bases for spherical monogenics in dimension 3. Zbl 1253.30056
Bock, Sebastian; Gürlebeck, Klaus; Lávička, Roman; Souček, Vladimír
22
2012
Morse-Sard theorem for real-analytic functions. Zbl 0235.26012
Souček, Jiří; Souček, Vladimír
20
1972
Ricci-corrected derivatives and invariant differential operators. Zbl 1082.58037
Calderbank, David M. J.; Diemer, Tammo; Souček, Vladimír
18
2005
The Howe duality for the Dunkl version of the Dirac operator. Zbl 1404.17018
Ørsted, Bent; Somberg, Petr; Souček, Vladimír
18
2009
The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043
Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V.
15
2011
Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation. Zbl 0969.53003
Čap, A.; Slovák, J.; Souček, V.
14
1997
On a new normalization for tractor covariant derivatives. Zbl 1264.58029
Hammerl, Matthias; Somberg, Petr; Souček, Vladimír; Šilhan, Josef
14
2012
Complexes of invariant operators in several quaternionic variables. Zbl 1184.30044
Bureš, J.; Souček, V.
13
2006
Subcomplexes in curved BGG-sequences. Zbl 1318.32044
Čap, Andreas; Souček, Vladimír
13
2012
Fischer decompositions in Euclidean and Hermitean Clifford analysis. Zbl 1249.30135
Brackx, Fred; De Schepper, Hennie; Souček, Vladimír
13
2010
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
Complex-quaternionic analysis applied to spin-1/2 massless fields. Zbl 0525.30039
Soucek, Vladimir
11
1983
Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections. Zbl 1024.53007
Čap, A.; Slovák, J.; Souček, V.
11
1997
Relative BGG sequences. II: BGG machinery and invariant operators. Zbl 1418.17022
Čap, Andreas; Souček, Vladimír
11
2017
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
Orthogonal basis for spherical monogenics by step two branching. Zbl 1250.30048
Lávička, R.; Souček, V.; Van Lancker, P.
9
2012
The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30061
Delanghe, Richard; Lávička, Roman; Souček, Vladimír
9
2012
Elements of quaternionic analysis and Radon transform. Zbl 1190.30002
Bureš, J.; Lávička, R.; Souček, V.
9
2009
Invariant operators of the first order on manifolds with a given parabolic structure. Zbl 0998.53021
Slovák, Jan; Souček, Vladimir
9
2000
The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. Zbl 1279.30051
De Bie, Hendrik; Somberg, Petr; Souček, Vladimir
9
2014
Invariant operators on manifolds with almost Hermitian symmetric structures. III: Standard operators. Zbl 0969.53004
Čap, Andreas; Slovák, Jan; Souček, Vladimír
8
2000
Clifford analysis for higher spins. Zbl 0841.30038
Souček, Vladimír
8
1993
Gelfand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis. Zbl 1242.30041
Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V.
8
2011
Higher spins and conformal invariance in Clifford analysis. Zbl 0876.58052
Souček, Vladimír
8
1996
Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. Zbl 1364.15016
Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V.
8
2014
Conformally invariant powers of the Dirac operator in Clifford analysis. Zbl 1201.30065
Eelbode, David; Souček, Vladimír
8
2010
Gegenbauer polynomials and the Fueter theorem. Zbl 1307.30091
Eelbode, David; Souček, V.; Van Lancker, P.
8
2014
The Clifford deformation of the Hermite semigroup. Zbl 1273.43007
De Bie, Hendrik; Førsted, Bent; Somberg, Petr; Souček, Vladimir
8
2013
On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems. Zbl 1254.30083
Delanghe, Richard; Lávička, Roman; Souček, Vladimír
7
2011
Relative BGG sequence. I: Algebra. Zbl 1380.17009
Čap, Andreas; Souček, Vladimir
7
2016
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
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
Eigenvalues of conformally invariant operators on spheres. Zbl 0958.58024
Bureš, Jarolím; Souček, Vladimír
5
1999
Generalized hypercomplex analysis and its integral formulas. Zbl 0586.30043
Bureš, J.; Souček, V.
5
1985
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
4
2012
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
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
A note on Whittaker’s cardinal series in harmonic analysis. Zbl 0616.43006
Dodson, M. M.; Silva, A. M.; Soucek, V.
4
1986
BGG complexes in singular infinitesimal character for type A. Zbl 1430.17028
Pandžić, Pavle; Souček, Vladimír
4
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
Conformally invariant operators via curved Casimirs: examples. Zbl 1208.53050
Čap, Andreas; Cover, A. Rod; Souček, Vladimír
4
2010
The generalized Dolbeault complex in two Clifford variables. Zbl 1126.58018
Krump, Lukáš; Souček, Vladimír
3
2007
Monogenic differential forms. Zbl 0765.30032
Sommen, F.; Souček, V.
3
1992
Residues in Clifford analysis. Zbl 0797.30038
Delanghe, R.; Sommen, F.; Souček, V.
3
1992
Different approaches to the complex of three Dirac operators. Zbl 1338.58025
Damiano, Alberto; Sabadini, Irene; Souček, Vladimir
3
2014
Representation theory in Clifford analysis. Zbl 1330.30009
Souček, Vladimír
3
2015
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
On the structure of complex Clifford algebra. Zbl 1279.15020
Brackx, F.; De Schepper, H.; Souček, V.
2
2011
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
Krasnoselskiĭ’s main bifurcation theorem. Zbl 0301.47041
Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír
2
1974
On generalized Cauchy Riemann equations on manifolds. Zbl 0575.32028
Bureš, Jarolím; Souček, Vladimír
2
1984
On the structure of spinor-valued differential forms. Zbl 0726.53014
Delanghe, Richard; Souček, Vladimir
2
1992
Grading of spinor bundles and gravitating matter in noncommutative geometry. Zbl 0794.53055
Klimčík, C.; Pompoš, A.; Souček, V.
2
1994
Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089
Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V.
2
2015
Clifford analysis as a study of invariant operators. Zbl 1094.53502
Souček, Vladimír
2
2001
Subriemannian metrics and the metrizability of parabolic geometries. Zbl 1486.53021
Calderbank, David M. J.; Slovák, Jan; Souček, Vladimír
2
2021
Hypercomplex differential forms applied to the De Rham and the Dolbeault complex. Zbl 0659.30042
Sommen, F.; Souček, V.
1
1985
Invariant operators and Clifford analysis. Zbl 1221.30117
Souček, Vladimír
1
2001
\({\mathbb{H}}\)-valued differential forms on \({\mathbb{H}}\). Zbl 0546.30040
Souček, Vladimír
1
1984
The Penrose transform on isotropic Grassmannians. Zbl 0823.44005
Bureš, J.; Souček, V.
1
1994
An explicit realization of spinor spaces and its application to Clifford analysis. Zbl 0746.53013
Delanghe, Richard; Sommen, Frank; Soucěk, Vladimir
1
1992
On the structure of spinor-valued differential forms. Zbl 0756.53007
Delanghe, Richard; Souček, Vladimir
1
1992
Fischer decomposition for massless fields of spin 1 in dimension 4. Zbl 1468.30082
Brackx, F.; de Schepper, H.; Krump, L.; Souček, V.
1
2018
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 Morse-Sard theorem for real-analytic functions. Zbl 0314.57021
Souček, Jiří; Souček, Vladimír
1
1973
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
Generalized C-R equations on manifolds. Zbl 0602.58008
Souček, Vladimír
1
1986
The Penrose transform and Clifford analysis. Zbl 0753.58033
Bureš, J.; Souček, V.
1
1991
Monogenic forms on manifolds. Zbl 0885.53050
Souček, Vladimír
1
1993
The Penrose transform for Dirac equation. Zbl 0788.53071
Bureš, J.; Souček, V.
1
1993
Monogenic plane waves and the \(W\)-functional calculus. Zbl 1350.30068
Colombo, Fabrizio; Lávička, Roman; Sabadini, Irene; Souček, Vladimír
1
2016
Hasse diagrams for parabolic geometries. Zbl 1047.53014
Krump, Lukáš; Souček, Vladimír
1
2003
Singular BGG sequences for the even orthogonal case. Zbl 1164.58317
Krump, Lukáš; Souček, Vladimír
1
2006
Dirac inequality for highest weight Harish-Chandra modules. I. Zbl 07662423
Pandžić, Pavle; Prlić, Ana; Souček, Vladimír; Tuček, Vít
1
2023
Dirac inequality for highest weight Harish-Chandra modules. I. Zbl 07662423
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.
1
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
4
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
32
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
3
2015
Embedding factors for branching in Hermitian Clifford analysis. Zbl 1307.30089
Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V.
2
2015
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
Gegenbauer polynomials and the Fueter theorem. Zbl 1307.30091
Eelbode, David; Souček, V.; Van Lancker, P.
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.
39
2012
Gelfand-Tsetlin bases for spherical monogenics in dimension 3. Zbl 1253.30056
Bock, Sebastian; Gürlebeck, Klaus; Lávička, Roman; Souček, Vladimír
22
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
Orthogonal basis for spherical monogenics by step two branching. Zbl 1250.30048
Lávička, R.; Souček, V.; Van Lancker, P.
9
2012
The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces. Zbl 1253.30061
Delanghe, Richard; Lávička, Roman; Souček, Vladimír
9
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
4
2012
The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis. Zbl 1226.30043
Brackx, F.; De Schepper, H.; Lávička, R.; Souček, V.
15
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
On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems. Zbl 1254.30083
Delanghe, Richard; Lávička, Roman; Souček, Vladimír
7
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.
2
2011
The Howe dual pair in Hermitean Clifford analysis. Zbl 1201.30061
Brackx, Fred; De Schepper, Hennie; Eelbode, David; Souček, Vladimir
38
2010
Fischer decompositions in Euclidean and Hermitean Clifford analysis. Zbl 1249.30135
Brackx, Fred; De Schepper, Hennie; Souček, Vladimír
13
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
18
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
61
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.
29
2006
Complexes of invariant operators in several quaternionic variables. Zbl 1184.30044
Bureš, J.; Souček, V.
13
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
18
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.
27
2002
Bernstein-Gelfand-Gelfand sequences. Zbl 1159.58309
Čap, Andreas; Slovák, Jan; Souček, Vladimír
100
2001
Rarita-Schwinger type operators in Clifford analysis. Zbl 1078.30041
Bureš, J.; Sommen, F.; Souček, V.; van Lancker, P.
38
2001
Clifford analysis as a study of invariant operators. Zbl 1094.53502
Souček, Vladimír
2
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
9
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
5
1999
Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation. Zbl 0969.53003
Čap, A.; Slovák, J.; Souček, V.
14
1997
Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections. Zbl 1024.53007
Čap, A.; Slovák, J.; Souček, V.
11
1997
Higher spins and conformal invariance in Clifford analysis. Zbl 0876.58052
Souček, Vladimír
8
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
8
1993
Monogenic forms on manifolds. Zbl 0885.53050
Souček, Vladimír
1
1993
The Penrose transform for Dirac equation. Zbl 0788.53071
Bureš, J.; Souček, V.
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.
374
1992
Monogenic differential forms. Zbl 0765.30032
Sommen, F.; Souček, V.
3
1992
Residues in Clifford analysis. Zbl 0797.30038
Delanghe, R.; Sommen, F.; Souček, V.
3
1992
On the structure of spinor-valued differential forms. Zbl 0726.53014
Delanghe, Richard; Souček, Vladimir
2
1992
An explicit realization of spinor spaces and its application to Clifford analysis. Zbl 0746.53013
Delanghe, Richard; Sommen, Frank; Soucěk, Vladimir
1
1992
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
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
1
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
73
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
20
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 top 5

Cited by 609 Authors

94 Sommen, Franciscus
56 Brackx, Fred F.
52 De Schepper, Hennie
45 Soucek, Vladimir
41 Eelbode, David
37 Sabadini, Irene
32 De Bie, Hendrik
29 Colombo, Fabrizio
27 Čap, Andreas
27 Gover, Ashwin Rod
23 Bory Reyes, Juan
22 Lávička, Roman
21 Kraußhar, Rolf Sören
21 Qian, Tao
20 Abreu-Blaya, Ricardo
19 Ryan, John
18 Somberg, Petr
17 Kähler, Uwe
17 Peña Peña, Dixan
17 Vieira, Nelson
15 Wang, Wei
14 Ren, Guangbin
13 Cerejeiras, Paula
13 Raeymaekers, Tim
12 Adán, Alí Guzmán
12 Constales, Denis
11 Ku, Min
11 Mejjaoli, Hatem
10 Ferreira, Milton
10 Kobayashi, Toshiyuki
10 Van Lancker, Peter
9 Delanghe, Richard
9 Ding, Chao
9 Hammerl, Matthias
9 He, Fuli
9 Orelma, Heikki
9 Ørsted, Bent
9 Šilhan, Josef
8 De Martino, Antonino
8 Drábek, Pavel
8 Gu, Longfei
8 Malonek, Helmuth Robert
8 Morais, João Pedro
8 Shapiro, Michael V.
7 Alpay, Daniel Aron
7 Ben Saïd, Salem
7 Cação, Isabel
7 Damiano, Alberto
7 De Knock, Bram
7 De Schepper, Nele
7 Falcão, Maria Irene
7 Gürlebeck, Klaus
7 Salač, Tomáš
7 Vinet, Luc
7 Wang, Haiyan
6 Bureš, Jarolím
6 Calderbank, David M. J.
6 Coulembier, Kevin
6 Dang, Pei
6 Fučik, Svatopluk
6 Grob, Dennis
6 Kou, Kit-Ian
6 Luna-Elizarrarás, María Elena
6 Neusser, Katharina
6 Rodrigues, Maria Manuela
6 Sagerschnig, Katja
6 Slovák, Jan
6 Struppa, Daniele Carlo
6 Yang, Yan
5 Bernstein, Swanhild
5 Eastwood, Michael G.
5 Genest, Vincent X.
5 Juhl, Andreas
5 Kimsey, David Patrick
5 Roels, Matthias
5 Soucek, Jiri
5 Van der Jeugt, Joris
5 Walter, Raymond
5 Zhang, Zhongxiang
4 Armstrong, Stuart
4 Branson, Thomas Patrick
4 Clerc, Jean-Louis
4 de Almeida, Regina
4 De Ridder, Hilde
4 Diki, Kamal
4 Du, Jinyuan
4 Fei, Minggang
4 Frahm, Jan
4 Haller, Stefan
4 Homma, Yasushi
4 Hu, Kaibo
4 Kisil, Vladimir V.
4 Křižka, Libor
4 Leitner, Felipe
4 Li, Junxia
4 Li, Shanshan
4 Lian, Pan
4 Nečas, Jindřich
4 Oste, Roy
4 Pevzner, Michael
...and 509 more Authors
all top 5

Cited in 190 Serials

92 Advances in Applied Clifford Algebras
49 Complex Analysis and Operator Theory
40 Journal of Mathematical Analysis and Applications
33 Journal of Geometry and Physics
21 The Journal of Geometric Analysis
18 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Mathematical Methods in the Applied Sciences
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
11 Czechoslovak Mathematical Journal
11 Transactions of the American Mathematical Society
10 Communications in Mathematical Physics
10 Results in Mathematics
10 International Journal of Mathematics
10 Boundary Value Problems
9 Applied Mathematics and Computation
9 Journal of Differential Equations
9 Proceedings of the American Mathematical Society
8 Journal of Algebra
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Journal of High Energy Physics
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Zeitschrift für Analysis und ihre Anwendungen
7 Nonlinear Analysis. Theory, Methods & Applications
6 Letters in Mathematical Physics
6 Mathematische Annalen
6 The Journal of Fourier Analysis and Applications
6 Transformation Groups
5 Journal of Approximation Theory
5 Journal für die Reine und Angewandte Mathematik
5 Memoirs of the American Mathematical Society
5 Integral Transforms and Special Functions
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Pseudo-Differential Operators and Applications
4 Aplikace Matematiky
4 Mathematische Nachrichten
4 Linear Algebra and its Applications
4 Journal of Lie Theory
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 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 Science China. Mathematics
2 Analysis Mathematica
2 Classical and Quantum Gravity
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 Computational and Applied Mathematics
2 Journal of Number Theory
2 Journal of Pure and Applied Algebra
2 Pacific Journal of Mathematics
2 Tokyo Journal of Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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 Inequalities and Applications
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Evolution Equations
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 Analysis and Mathematical Physics
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
1 Houston Journal of Mathematics
1 International Journal of Mathematical Education in Science and Technology
1 Journal d’Analyse Mathématique
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
...and 90 more Serials
all top 5

Cited in 53 Fields

380 Functions of a complex variable (30-XX)
167 Differential geometry (53-XX)
152 Partial differential equations (35-XX)
120 Global analysis, analysis on manifolds (58-XX)
85 Linear and multilinear algebra; matrix theory (15-XX)
80 Operator theory (47-XX)
72 Harmonic analysis on Euclidean spaces (42-XX)
64 Several complex variables and analytic spaces (32-XX)
61 Topological groups, Lie groups (22-XX)
60 Quantum theory (81-XX)
48 Nonassociative rings and algebras (17-XX)
46 Special functions (33-XX)
44 Functional analysis (46-XX)
35 Integral transforms, operational calculus (44-XX)
32 Ordinary differential equations (34-XX)
28 Abstract harmonic analysis (43-XX)
24 Potential theory (31-XX)
19 Relativity and gravitational theory (83-XX)
18 Number theory (11-XX)
17 Group theory and generalizations (20-XX)
17 Real functions (26-XX)
12 Numerical analysis (65-XX)
12 Information and communication theory, circuits (94-XX)
11 Integral equations (45-XX)
10 Fluid mechanics (76-XX)
9 Algebraic geometry (14-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Geometry (51-XX)
7 Mechanics of particles and systems (70-XX)
6 Combinatorics (05-XX)
6 Manifolds and cell complexes (57-XX)
5 Mechanics of deformable solids (74-XX)
5 Optics, electromagnetic theory (78-XX)
4 Associative rings and algebras (16-XX)
4 Category theory; homological algebra (18-XX)
4 Difference and functional equations (39-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)
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)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Probability theory and stochastic processes (60-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year