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Fuglede, Bent (b. 1925 d. 2023)

Author ID: fuglede.bent Recent zbMATH articles by "Fuglede, Bent"
Published as: Fuglede, Bent; Fuglede, B.
Homepage: http://www.math.ku.dk/english/staff/?pure=en/persons/45324
External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef
Documents Indexed: 115 Publications since 1950, including 4 Books and 1 Additional arXiv Preprint
3 Contributions as Editor
Reviewing Activity: 1 Review
Biographic References: 1 Publication
Co-Authors: 24 Co-Authors with 29 Joint Publications
640 Co-Co-Authors
all top 5

Serials

9 Potential Analysis
8 Annales de l’Institut Fourier
6 Mathematische Annalen
6 Mathematica Scandinavica
6 Expositiones Mathematicae
4 Annales Academiae Scientiarum Fennicae. Mathematica
3 Acta Mathematica
3 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
3 Journal of Functional Analysis
3 Proceedings of the National Academy of Sciences of the United States of America
3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
2 Journal of Mathematical Analysis and Applications
2 Revue Roumaine de Mathématiques Pures et Appliquées
2 Bulletin of the London Mathematical Society
2 Geometriae Dedicata
2 Hiroshima Mathematical Journal
2 Journal of Number Theory
2 Transactions of the American Mathematical Society
2 Aequationes Mathematicae
2 Calculus of Variations and Partial Differential Equations
2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Lecture Notes in Mathematics
2 Matematisk-Fysiske Meddelelser
1 American Mathematical Monthly
1 Analysis Mathematica
1 Communications in Mathematical Physics
1 Journal d’Analyse Mathématique
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Annales Polonici Mathematici
1 Journal of Approximation Theory
1 Manuscripta Mathematica
1 Mitteilungen der Mathematischen Gesellschaft der Deutschen Demokratischen Republik
1 Nagoya Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Topology and its Applications
1 Probability Theory and Related Fields
1 Constructive Approximation
1 L’Enseignement Mathématique. 2e Série
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Communications in Analysis and Geometry
1 Annals of Mathematics. Second Series
1 Matematisk Tidsskrift, B
1 Cambridge Tracts in Mathematics
1 NATO ASI Series. Series C. Mathematical and Physical Sciences
1 Advances in Operator Theory

Publications by Year

Citations contained in zbMATH Open

101 Publications have been cited 2,020 times in 1,612 Documents Cited by Year
Commuting self-adjoint partial differential operators and a group theoretic problem. Zbl 0279.47014
Fuglede, Bent
314
1974
Extremal length and functional completion. Zbl 0079.27703
Fuglede, Bent
222
1957
Harmonic morphisms between Riemannian manifolds. Zbl 0339.53026
Fuglede, Bent
150
1978
Determinant theory in finite factors. Zbl 0046.33604
Fuglede, Bent; Kadison, Richard V.
125
1952
A commutativity theorem for normal operators. Zbl 0035.35804
Fuglede, Bent
101
1950
Finely harmonic functions. Zbl 0248.31010
Fuglede, Bent
93
1972
Stability in the isoperimetric problem for convex or nearly spherical domains in \({\mathbb{R}}^ n\). Zbl 0679.52007
Fuglede, Bent
86
1989
On the theory of potentials in locally compact spaces. Zbl 0115.31901
Fuglede, Bent
84
1960
The multidimensional moment problem. Zbl 0514.44006
Fuglede, Bent
79
1983
Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001
Eells, J.; Fuglede, B.
73
2001
The quasi topology associated with a countably subadditive set function. Zbl 0197.19401
Fuglede, Bent
37
1971
Harmonic morphisms between semi-Riemannian manifolds. Zbl 0847.53013
Fuglede, Bent
28
1996
Le théorème du minimax et la théorie fine du potentiel. Zbl 0128.33103
Fuglede, Bent
23
1965
Plurisubharmonic and holomorphic functions relative to the plurifine topology. Zbl 1222.32057
El Kadiri, Mohamed; Fuglede, Bent; Wiegerinck, Jan
22
2011
Orthogonal exponentials on the ball. Zbl 0990.42014
Fuglede, Bent
20
2001
Green kernels associated with Riesz kernels. Zbl 1404.31020
Fuglede, Bent; Zorii, Natalia
19
2018
On a conjecture of Murray and von Neumann. Zbl 0043.11702
Fuglede, Bent; Kadison, Richard V.
18
1951
On determinants and a property of the trace in finite factors. Zbl 0043.32803
Fuglede, Bent; Kadison, Richard V.
17
1951
Sur les fonctions finement holomorphes. Zbl 0445.30040
Fuglede, Bent
17
1981
An integral formula. Zbl 0088.14702
Fuglede, Bent
17
1958
Capacity as a sublinear functional generalizing an integral. Zbl 0222.31002
Fuglede, Bent
16
1971
The Dirichlet problem for harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature. Zbl 1061.31008
Fuglede, Bent
15
2005
Finely harmonic mappings and finely holomorphic functions. Zbl 0345.31008
Fuglede, Bent
15
1976
Fonctions harmoniques et fonctions finement harmoniques. Zbl 0287.31003
Fuglede, Bent
15
1974
Continuous domain dependence of the eigenvalues of the Dirichlet Laplacian and related operators in Hilbert space. Zbl 0948.47047
Fuglede, Bent
14
1999
Hölder continuity of harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature. Zbl 1025.31004
Fuglede, Bent
14
2003
On a direct method of integral equations for solving the biharmonic Dirichlet problem. Zbl 0478.35041
Fuglede, Bent
14
1981
Harmonic maps from Riemannian polyhedra to geodesic spaces with curvature bounded from above. Zbl 1133.58004
Fuglede, Bent
14
2008
Stability in the isoperimetric problem. Zbl 0603.49018
Fuglede, Bent
12
1986
Connection on fine topology and balayage of measures. (Connexion en topologie fine et balayage des mesures.) Zbl 0208.13802
Fuglede, Bent
12
1971
Finely holomorphic functions. A survey. Zbl 0671.31006
Fuglede, Bent
11
1988
Bonnesen’s inequality for the isoperimetric deficiency of closed curves in the plane. Zbl 0723.53001
Fuglede, Bent
11
1991
A criterion of non-vanishing differential of a smooth map. Zbl 0491.53010
Fuglede, Bent
10
1982
Sur la fonction de Green pour un domaine fin. Zbl 0289.31012
Fuglede, Bent
10
1975
On the relation \(PQ-QP =-iI\). Zbl 0149.10101
Fuglede, Bent
10
1967
Asymptotic paths for subharmonic functions and polygonal connectedness of fine domains. Zbl 0445.31003
Fuglede, Bent
9
1980
Conditions for two self-adjoint operators to commute or to satisfy the Weyl relation. Zbl 0479.47024
Fuglede, Bent
9
1982
Some properties of the Riesz charge associated with a \(\delta\)- subharmonic function. Zbl 0766.31010
Fuglede, Bent
9
1992
Asymptotic paths for subharmonic functions. Zbl 0283.31001
Fuglede, Bent
9
1975
Fonctions BLD et fonctions finement surharmoniques. Zbl 0484.31003
Fuglede, Bent
8
1982
Integral representation of fine potentials. Zbl 0489.31005
Fuglede, Bent
8
1983
Harnack sets and openness of harmonic morphisms. Zbl 0401.31004
Fuglede, Bent
8
1979
Condensers with touching plates and constrained minimum Riesz and Green energy problems. Zbl 1435.31009
Dragnev, P. D.; Fuglede, B.; Hardin, D. P.; Saff, E. B.; Zorii, N.
8
2019
Minimum Riesz energy problems for a condenser with touching plates. Zbl 1338.31008
Dragnev, P. D.; Fuglede, B.; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia
8
2016
Applications du théorème minimax à l’étude diverses capacités. Zbl 0159.40801
Fuglede, Bent
8
1968
On generalized potentials of functions in the Lebesgue classes. Zbl 0196.42002
Fuglede, Bent
8
1961
Dirichlet problems for harmonic maps from regular domains. Zbl 1080.58015
Fuglede, Bent
7
2005
The Dirichlet Laplacian on finely open sets. Zbl 0926.31004
Fuglede, Bent
7
1999
Fine topology and finely holomorphic functions. Zbl 0462.30004
Fuglede, Bent
6
1981
Remarks on fine continuity and the base operation in potential theory. Zbl 0273.31014
Fuglede, Bent
6
1974
On a theorem of F. Riesz. Zbl 0067.27901
Fuglede, Bent
6
1955
Symmetric function kernels and sweeping of measures. Zbl 1399.31010
Fuglede, B.
6
2016
Extremal length and closed extensions of partial differential operators. Zbl 0171.06203
Fuglede, Bent
6
1960
Caractérisation des noyaux consistants en théorie du potentiel. Zbl 0103.07102
Fuglede, Bent
6
1962
On the imbedding problem for stochastic and doubly stochastic matrices. Zbl 0639.15007
Fuglede, Bent
5
1988
Finite energy maps from Riemannian polyhedra to metric spaces. Zbl 1066.58008
Fuglede, Bent
5
2003
No two quotients of normalized binomial mid-coefficients are equal. Zbl 0702.11017
Bang, Thøger; Fuglede, Bent
5
1990
Liouville’s operator for a disc in space. Zbl 0702.45015
Berg, Christian; Fuglede, Bent
5
1990
Localization in fine potential theory and uniform approximation by subharmonic functions. Zbl 0503.31003
Fuglede, Bent
5
1982
Fonctions finement holomorphes de plusieurs variables - un essai. (Fine holomorphic functions of several complex variables - an essay). Zbl 0595.32008
Fuglede, Bent
5
1986
An alternative concept of Riesz energy of measures with application to generalized condensers. Zbl 1432.31006
Fuglede, Bent; Zorii, Natalia
5
2019
Martin boundary of a fine domain and a Fatou-Naïm-Doob theorem for finely superharmonic functions. Zbl 1338.31016
El Kadiri, Mohamed; Fuglede, Bent
5
2016
A sharpening of Wielandt’s characterization of the gamma function. Zbl 1189.33004
Fuglede, Bent
5
2008
Fine potential theory. Zbl 0666.31005
Fuglede, Bent
4
1988
The Dirichlet problem at the Martin boundary of a fine domain. Zbl 1378.31005
El Kadiri, Mohamed; Fuglede, Bent
4
2018
Spirals in Hilbert space: with an application in information theory. Zbl 1093.42010
Fuglede, Bent
4
2005
Normalized binomial mid-coefficients and power means. Zbl 1093.11008
Alzer, Horst; Fuglede, Bent
4
2005
Lower estimate of the isoperimetric deficit of convex domains in \(\mathbb{R}^ n\) in terms of asymmetry. Zbl 0806.53067
Fuglede, Bent
4
1993
Représentation intégrale des potentiels fins. (Integral representation of fine potentials). Zbl 0579.31004
Fuglede, Bent
4
1985
Invariant characterization of the fine topology in potential theory. Zbl 0402.31015
Fuglede, Bent
4
1979
Constrained minimum Riesz energy problems for a condenser with intersecting plates. Zbl 1439.31006
Dragnev, Peter D.; Fuglede, Bent; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia
4
2020
Various concepts of Riesz energy of measures and application to condensers with touching plates. Zbl 1456.31008
Fuglede, Bent; Zorii, Natalia
4
2020
Homotopy problems for harmonic maps to spaces of nonpositive curvature. Zbl 1196.58006
Fuglede, Bent
4
2008
The logarithmic potential in higher dimensions. Zbl 0098.07002
Fuglede, Bent
4
1960
Value distribution of harmonic and finely harmonic morphisms and applications in complex analysis. Zbl 0607.31002
Fuglede, Bent
3
1986
Un nouveau théorème sur les distributions. Zbl 0151.18202
Fuglede, Bent; Schwartz, Laurent
3
1966
Approximation by solutions of partial differential equations. Proceedings of the NATO advanced research workshop on approximation by solutions of partial differential equations, quadrature formulae, and related topics, held in Hanstholm, Denmark, July 8-12, 1991. Zbl 0744.00033
3
1992
A simple proof that certain capacities decrease under contraction. Zbl 0705.31008
Fuglede, Bent
3
1989
Sweeping at the Martin boundary of a fine domain. Zbl 1338.31017
El Kadiri, Mohamed; Fuglede, Bent
3
2016
Fine connectivity and finely harmonic functions. Zbl 0223.31016
Fuglede, Bent
3
1971
Domains of existence for finely holomorphic functions. Zbl 1431.30036
Fuglede, Bent; Groot, Alan; Wiegerinck, Jan
3
2019
A sharpening of a theorem of Bouligand. With an application to harmonic maps. Zbl 1103.31006
Fuglede, Bent
2
2006
Integration on the \(n\)th power of a hyperbolic space in terms of invariants under diagonal action of isometries (Lorentz transformations). Zbl 0705.22009
Fuglede, Bent
2
1990
On the mean value property of finely harmonic and finely hyperharmonic functions. Zbl 0709.31002
Fuglede, Bent
2
1990
On the Riesz charge of the lower envelope of \(\delta\)-subharmonic functions. Zbl 1081.31500
Eremenko, Alexandre; Fuglede, Bent; Sodin, Mikhail
2
1992
Continuous selection in a convexity theorem of Minkowski. Zbl 0596.52005
Fuglede, Bent
2
1986
Harmonic morphisms. Zbl 0414.53033
Fuglede, Bent
2
1979
Boundary minimum principles in potential theory. Zbl 0272.31006
Fuglede, Bent
2
1974
The Fuglede theorem and some intertwining relations. Zbl 1520.47001
Bensaid, Ikram Fatima Zohra; Dehimi, Souheyb; Fuglede, Bent; Mortad, Mohammed Hichem
2
2021
Harmonic maps from Riemannian polyhedra to space of nonpositive curvature. Zbl 1199.58007
Fuglede, Bent
2
2005
On a trigonometric inequality of Turán. Zbl 1253.42001
Alzer, Horst; Fuglede, Bent
2
2012
Complements to Havin’s theorem on \(L^ 2\)-approximation by analytic functions. Zbl 0587.30037
Fuglede, Bent
1
1985
The beginnings of harmonic morphisms. Zbl 0948.53036
Fuglede, Bent
1
2000
Constrained Gauss variational problems for a condenser with intersecting plates. Zbl 1394.31005
Fuglede, Bent; Zorii, Natalia
1
2017
Esquisse d’une théorie axiomatique de l’effilement et de la capacité. Zbl 0192.20401
Fuglede, Bent
1
1965
Finely holomorphic functions and finely harmonic morphisms. Zbl 0647.31005
Fuglede, Bent
1
1987
Harmonic morphisms between Riemannian manifolds. Zbl 0408.31011
Fuglede, Bent
1
1978
Harmonic morphisms applied to classical potential theory. Zbl 1235.31002
Fuglede, Bent
1
2011
Capacitabilité des ensembles sousliniens en théorie du potentiel. Zbl 0104.32804
Fuglede, Bent
1
1962
Quasi-continuité des potentiels d’énergie finie par rapport à un noyau consistant. Zbl 0103.07101
Fuglede, Bent
1
1962
The Fuglede theorem and some intertwining relations. Zbl 1520.47001
Bensaid, Ikram Fatima Zohra; Dehimi, Souheyb; Fuglede, Bent; Mortad, Mohammed Hichem
2
2021
Constrained minimum Riesz energy problems for a condenser with intersecting plates. Zbl 1439.31006
Dragnev, Peter D.; Fuglede, Bent; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia
4
2020
Various concepts of Riesz energy of measures and application to condensers with touching plates. Zbl 1456.31008
Fuglede, Bent; Zorii, Natalia
4
2020
Condensers with touching plates and constrained minimum Riesz and Green energy problems. Zbl 1435.31009
Dragnev, P. D.; Fuglede, B.; Hardin, D. P.; Saff, E. B.; Zorii, N.
8
2019
An alternative concept of Riesz energy of measures with application to generalized condensers. Zbl 1432.31006
Fuglede, Bent; Zorii, Natalia
5
2019
Domains of existence for finely holomorphic functions. Zbl 1431.30036
Fuglede, Bent; Groot, Alan; Wiegerinck, Jan
3
2019
Green kernels associated with Riesz kernels. Zbl 1404.31020
Fuglede, Bent; Zorii, Natalia
19
2018
The Dirichlet problem at the Martin boundary of a fine domain. Zbl 1378.31005
El Kadiri, Mohamed; Fuglede, Bent
4
2018
Constrained Gauss variational problems for a condenser with intersecting plates. Zbl 1394.31005
Fuglede, Bent; Zorii, Natalia
1
2017
Minimum Riesz energy problems for a condenser with touching plates. Zbl 1338.31008
Dragnev, P. D.; Fuglede, B.; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia
8
2016
Symmetric function kernels and sweeping of measures. Zbl 1399.31010
Fuglede, B.
6
2016
Martin boundary of a fine domain and a Fatou-Naïm-Doob theorem for finely superharmonic functions. Zbl 1338.31016
El Kadiri, Mohamed; Fuglede, Bent
5
2016
Sweeping at the Martin boundary of a fine domain. Zbl 1338.31017
El Kadiri, Mohamed; Fuglede, Bent
3
2016
On a trigonometric inequality of Turán. Zbl 1253.42001
Alzer, Horst; Fuglede, Bent
2
2012
Plurisubharmonic and holomorphic functions relative to the plurifine topology. Zbl 1222.32057
El Kadiri, Mohamed; Fuglede, Bent; Wiegerinck, Jan
22
2011
Harmonic morphisms applied to classical potential theory. Zbl 1235.31002
Fuglede, Bent
1
2011
Harmonic maps from Riemannian polyhedra to geodesic spaces with curvature bounded from above. Zbl 1133.58004
Fuglede, Bent
14
2008
A sharpening of Wielandt’s characterization of the gamma function. Zbl 1189.33004
Fuglede, Bent
5
2008
Homotopy problems for harmonic maps to spaces of nonpositive curvature. Zbl 1196.58006
Fuglede, Bent
4
2008
A sharpening of a theorem of Bouligand. With an application to harmonic maps. Zbl 1103.31006
Fuglede, Bent
2
2006
The Dirichlet problem for harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature. Zbl 1061.31008
Fuglede, Bent
15
2005
Dirichlet problems for harmonic maps from regular domains. Zbl 1080.58015
Fuglede, Bent
7
2005
Spirals in Hilbert space: with an application in information theory. Zbl 1093.42010
Fuglede, Bent
4
2005
Normalized binomial mid-coefficients and power means. Zbl 1093.11008
Alzer, Horst; Fuglede, Bent
4
2005
Harmonic maps from Riemannian polyhedra to space of nonpositive curvature. Zbl 1199.58007
Fuglede, Bent
2
2005
Hölder continuity of harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature. Zbl 1025.31004
Fuglede, Bent
14
2003
Finite energy maps from Riemannian polyhedra to metric spaces. Zbl 1066.58008
Fuglede, Bent
5
2003
Harmonic maps between Riemannian polyhedra. With a preface by M. Gromov. Zbl 0979.31001
Eells, J.; Fuglede, B.
73
2001
Orthogonal exponentials on the ball. Zbl 0990.42014
Fuglede, Bent
20
2001
The beginnings of harmonic morphisms. Zbl 0948.53036
Fuglede, Bent
1
2000
Continuous domain dependence of the eigenvalues of the Dirichlet Laplacian and related operators in Hilbert space. Zbl 0948.47047
Fuglede, Bent
14
1999
The Dirichlet Laplacian on finely open sets. Zbl 0926.31004
Fuglede, Bent
7
1999
Harmonic morphisms between semi-Riemannian manifolds. Zbl 0847.53013
Fuglede, Bent
28
1996
Lower estimate of the isoperimetric deficit of convex domains in \(\mathbb{R}^ n\) in terms of asymmetry. Zbl 0806.53067
Fuglede, Bent
4
1993
Some properties of the Riesz charge associated with a \(\delta\)- subharmonic function. Zbl 0766.31010
Fuglede, Bent
9
1992
Approximation by solutions of partial differential equations. Proceedings of the NATO advanced research workshop on approximation by solutions of partial differential equations, quadrature formulae, and related topics, held in Hanstholm, Denmark, July 8-12, 1991. Zbl 0744.00033
3
1992
On the Riesz charge of the lower envelope of \(\delta\)-subharmonic functions. Zbl 1081.31500
Eremenko, Alexandre; Fuglede, Bent; Sodin, Mikhail
2
1992
Bonnesen’s inequality for the isoperimetric deficiency of closed curves in the plane. Zbl 0723.53001
Fuglede, Bent
11
1991
No two quotients of normalized binomial mid-coefficients are equal. Zbl 0702.11017
Bang, Thøger; Fuglede, Bent
5
1990
Liouville’s operator for a disc in space. Zbl 0702.45015
Berg, Christian; Fuglede, Bent
5
1990
Integration on the \(n\)th power of a hyperbolic space in terms of invariants under diagonal action of isometries (Lorentz transformations). Zbl 0705.22009
Fuglede, Bent
2
1990
On the mean value property of finely harmonic and finely hyperharmonic functions. Zbl 0709.31002
Fuglede, Bent
2
1990
Stability in the isoperimetric problem for convex or nearly spherical domains in \({\mathbb{R}}^ n\). Zbl 0679.52007
Fuglede, Bent
86
1989
A simple proof that certain capacities decrease under contraction. Zbl 0705.31008
Fuglede, Bent
3
1989
Finely holomorphic functions. A survey. Zbl 0671.31006
Fuglede, Bent
11
1988
On the imbedding problem for stochastic and doubly stochastic matrices. Zbl 0639.15007
Fuglede, Bent
5
1988
Fine potential theory. Zbl 0666.31005
Fuglede, Bent
4
1988
Finely holomorphic functions and finely harmonic morphisms. Zbl 0647.31005
Fuglede, Bent
1
1987
Stability in the isoperimetric problem. Zbl 0603.49018
Fuglede, Bent
12
1986
Fonctions finement holomorphes de plusieurs variables - un essai. (Fine holomorphic functions of several complex variables - an essay). Zbl 0595.32008
Fuglede, Bent
5
1986
Value distribution of harmonic and finely harmonic morphisms and applications in complex analysis. Zbl 0607.31002
Fuglede, Bent
3
1986
Continuous selection in a convexity theorem of Minkowski. Zbl 0596.52005
Fuglede, Bent
2
1986
Représentation intégrale des potentiels fins. (Integral representation of fine potentials). Zbl 0579.31004
Fuglede, Bent
4
1985
Complements to Havin’s theorem on \(L^ 2\)-approximation by analytic functions. Zbl 0587.30037
Fuglede, Bent
1
1985
The multidimensional moment problem. Zbl 0514.44006
Fuglede, Bent
79
1983
Integral representation of fine potentials. Zbl 0489.31005
Fuglede, Bent
8
1983
A criterion of non-vanishing differential of a smooth map. Zbl 0491.53010
Fuglede, Bent
10
1982
Conditions for two self-adjoint operators to commute or to satisfy the Weyl relation. Zbl 0479.47024
Fuglede, Bent
9
1982
Fonctions BLD et fonctions finement surharmoniques. Zbl 0484.31003
Fuglede, Bent
8
1982
Localization in fine potential theory and uniform approximation by subharmonic functions. Zbl 0503.31003
Fuglede, Bent
5
1982
Sur les fonctions finement holomorphes. Zbl 0445.30040
Fuglede, Bent
17
1981
On a direct method of integral equations for solving the biharmonic Dirichlet problem. Zbl 0478.35041
Fuglede, Bent
14
1981
Fine topology and finely holomorphic functions. Zbl 0462.30004
Fuglede, Bent
6
1981
Asymptotic paths for subharmonic functions and polygonal connectedness of fine domains. Zbl 0445.31003
Fuglede, Bent
9
1980
Harnack sets and openness of harmonic morphisms. Zbl 0401.31004
Fuglede, Bent
8
1979
Invariant characterization of the fine topology in potential theory. Zbl 0402.31015
Fuglede, Bent
4
1979
Harmonic morphisms. Zbl 0414.53033
Fuglede, Bent
2
1979
Harmonic morphisms between Riemannian manifolds. Zbl 0339.53026
Fuglede, Bent
150
1978
Harmonic morphisms between Riemannian manifolds. Zbl 0408.31011
Fuglede, Bent
1
1978
Finely harmonic mappings and finely holomorphic functions. Zbl 0345.31008
Fuglede, Bent
15
1976
Sur la fonction de Green pour un domaine fin. Zbl 0289.31012
Fuglede, Bent
10
1975
Asymptotic paths for subharmonic functions. Zbl 0283.31001
Fuglede, Bent
9
1975
Commuting self-adjoint partial differential operators and a group theoretic problem. Zbl 0279.47014
Fuglede, Bent
314
1974
Fonctions harmoniques et fonctions finement harmoniques. Zbl 0287.31003
Fuglede, Bent
15
1974
Remarks on fine continuity and the base operation in potential theory. Zbl 0273.31014
Fuglede, Bent
6
1974
Boundary minimum principles in potential theory. Zbl 0272.31006
Fuglede, Bent
2
1974
Finely harmonic functions. Zbl 0248.31010
Fuglede, Bent
93
1972
The quasi topology associated with a countably subadditive set function. Zbl 0197.19401
Fuglede, Bent
37
1971
Capacity as a sublinear functional generalizing an integral. Zbl 0222.31002
Fuglede, Bent
16
1971
Connection on fine topology and balayage of measures. (Connexion en topologie fine et balayage des mesures.) Zbl 0208.13802
Fuglede, Bent
12
1971
Fine connectivity and finely harmonic functions. Zbl 0223.31016
Fuglede, Bent
3
1971
Applications du théorème minimax à l’étude diverses capacités. Zbl 0159.40801
Fuglede, Bent
8
1968
On the relation \(PQ-QP =-iI\). Zbl 0149.10101
Fuglede, Bent
10
1967
Un nouveau théorème sur les distributions. Zbl 0151.18202
Fuglede, Bent; Schwartz, Laurent
3
1966
Le théorème du minimax et la théorie fine du potentiel. Zbl 0128.33103
Fuglede, Bent
23
1965
Esquisse d’une théorie axiomatique de l’effilement et de la capacité. Zbl 0192.20401
Fuglede, Bent
1
1965
Caractérisation des noyaux consistants en théorie du potentiel. Zbl 0103.07102
Fuglede, Bent
6
1962
Capacitabilité des ensembles sousliniens en théorie du potentiel. Zbl 0104.32804
Fuglede, Bent
1
1962
Quasi-continuité des potentiels d’énergie finie par rapport à un noyau consistant. Zbl 0103.07101
Fuglede, Bent
1
1962
On generalized potentials of functions in the Lebesgue classes. Zbl 0196.42002
Fuglede, Bent
8
1961
A priori inequalities connected with systems of partial differential equations. Zbl 0113.08101
Fuglede, Bent
1
1961
On the theory of potentials in locally compact spaces. Zbl 0115.31901
Fuglede, Bent
84
1960
Extremal length and closed extensions of partial differential operators. Zbl 0171.06203
Fuglede, Bent
6
1960
The logarithmic potential in higher dimensions. Zbl 0098.07002
Fuglede, Bent
4
1960
An integral formula. Zbl 0088.14702
Fuglede, Bent
17
1958
Extremal length and functional completion. Zbl 0079.27703
Fuglede, Bent
222
1957
On a theorem of F. Riesz. Zbl 0067.27901
Fuglede, Bent
6
1955
Determinant theory in finite factors. Zbl 0046.33604
Fuglede, Bent; Kadison, Richard V.
125
1952
On a conjecture of Murray and von Neumann. Zbl 0043.11702
Fuglede, Bent; Kadison, Richard V.
18
1951
On determinants and a property of the trace in finite factors. Zbl 0043.32803
Fuglede, Bent; Kadison, Richard V.
17
1951
...and 1 more Documents
all top 5

Cited by 1,471 Authors

51 Jørgensen, Palle E. T.
43 Fuglede, Bent
29 Gudmundsson, Sigmundur
28 Sevost’yanov, Yevgen Oleksandrovych
28 Zorii, Natalia
25 Li, Jianlin
23 Liu, Jingcheng
20 Dutkay, Dorin Ervin
20 Stochel, Jan
19 Lai, Chun-Kit
17 Fusco, Nicola
16 Pedersen, Steen
15 Chen, Ming-Liang
14 Shlyk, Vladimir Alekseevich
13 Salimov, Ruslan Radikovich
12 Dong, Xinhan
12 Kolountzakis, Mihail N.
12 Martio, Olli
11 Baird, Paul
10 Gabardo, Jean-Pierre
10 Gardiner, Stephen J.
10 He, Xinggang
10 Rubin, Boris
10 Ryazanov, Vladimir Il’ich
10 Wang, Yang
9 Afanas’eva, Elena Sergeevna
9 Alzer, Horst
9 An, Lixiang
9 El Kadiri, Mohamed
9 Fu, Yan-Song
9 Golberg, Anatoly
9 Iosevich, Alex
9 Malý, Jan
9 Mayeli, Azita
9 Ou, Ye-Lin
8 Akyol, Mehmet Akif
8 Björn, Jana
8 Dragomir, Sorin
8 Ghandour, Elsa
8 Hansen, Wolfhard
8 Heinonen, Juha
8 Lahti, Panu
8 Lev, Nir
8 Maggi, Francesco
8 Mortad, Mohammed Hichem
8 Saff, Edward Barry
8 Schmüdgen, Konrad
8 Szafraniec, Franciszek Hugon
7 Björn, Anders
7 Dymchenko, Yuriĭ Viktorovich
7 Feki, Kais
7 Li, Qian
7 Markina, Irina
7 Netuka, Ivan
7 Pratelli, Aldo
7 Saloff-Coste, Laurent
7 Su, Juan
7 Sukochev, Fedor Anatol’evich
7 Svensson, Martin
7 Tang, Min-wei
7 Wu, Zhiyi
7 Xu, Yuan
7 Zanin, Dmitriy V.
6 Adams, David Randolph
6 Ai, Wenhui
6 Ciska-Niedziałomska, Małgorzata
6 Dragnev, Peter D.
6 Dykema, Kenneth J.
6 Guven, Ali
6 Hedberg, Lars Inge
6 Hong, Nguyen Xuan
6 Łaba, Izabella
6 Lau, Kasing
6 Li, Haixiong
6 Mathai, Varghese
6 Mese, Chikako
6 Nguyen Xuan Hong
6 Prasad, Rajendra
6 Schnurr, Alexander
6 Shanmugalingam, Nageswari
6 Shi, Ruxi
6 Tian, Feng
6 Wang, Zhimin
6 Wiegerinck, Jan J. O. O.
6 Yan, Zhi-Hui
6 Zhang, Minmin
5 Cichoń, Dariusz
5 Dai, Xinrong
5 Figalli, Alessio
5 Fu, Siqi
5 Fu, Xiaoye
5 Goldman, Michael
5 Gupta, Garima
5 Hoang Van Can
5 Il’yutko, Denis Petrovich
5 Jung, Il Bong
5 Kadison, Richard Vincent
5 Kumar, Rakesh
5 Kumar, Sushil
5 Kuwae, Kazuhiro
...and 1,371 more Authors
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Cited in 320 Serials

98 Journal of Functional Analysis
72 Journal of Mathematical Analysis and Applications
44 Transactions of the American Mathematical Society
43 Proceedings of the American Mathematical Society
43 Potential Analysis
35 Mathematische Annalen
31 Annales de l’Institut Fourier
26 Journal of Mathematical Sciences (New York)
25 Advances in Mathematics
24 Calculus of Variations and Partial Differential Equations
22 Journal d’Analyse Mathématique
22 Mathematische Zeitschrift
22 Complex Analysis and Operator Theory
21 The Journal of Geometric Analysis
21 The Journal of Fourier Analysis and Applications
16 Journal of Mathematical Physics
15 Ukrainian Mathematical Journal
15 Arkiv för Matematik
15 Inventiones Mathematicae
14 Journal of Geometry and Physics
14 Annali di Matematica Pura ed Applicata. Serie Quarta
14 Geometriae Dedicata
14 Tôhoku Mathematical Journal. Second Series
14 Linear Algebra and its Applications
13 Communications in Mathematical Physics
12 Annals of Global Analysis and Geometry
12 Forum Mathematicum
12 International Journal of Mathematics
12 Differential Geometry and its Applications
12 Analysis and Mathematical Physics
11 Analysis Mathematica
11 Israel Journal of Mathematics
11 Integral Equations and Operator Theory
11 Mathematische Nachrichten
11 Siberian Mathematical Journal
10 Archiv der Mathematik
10 Constructive Approximation
10 Revista Matemática Iberoamericana
10 Applied and Computational Harmonic Analysis
10 Fractals
9 Archive for Rational Mechanics and Analysis
9 Linear and Multilinear Algebra
9 Indagationes Mathematicae. New Series
9 Communications in Contemporary Mathematics
9 Complex Variables and Elliptic Equations
8 Mathematics of Computation
8 Manuscripta Mathematica
8 Monatshefte für Mathematik
8 Acta Applicandae Mathematicae
8 St. Petersburg Mathematical Journal
7 Acta Mathematica
7 Journal of Computational and Applied Mathematics
7 Journal of Soviet Mathematics
7 Results in Mathematics
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Expositiones Mathematicae
7 Turkish Journal of Mathematics
7 Journal of the European Mathematical Society (JEMS)
7 Acta Mathematica Sinica. English Series
7 Computational Methods and Function Theory
7 Science China. Mathematics
6 Bulletin of the Australian Mathematical Society
6 Nonlinearity
6 The Annals of Probability
6 Journal of Approximation Theory
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Conformal Geometry and Dynamics
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
6 Sibirskie Èlektronnye Matematicheskie Izvestiya
5 Mathematical Methods in the Applied Sciences
5 Mathematical Notes
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Bulletin of the London Mathematical Society
5 Bulletin de la Société Mathématique de France
5 Nagoya Mathematical Journal
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Acta Mathematica Hungarica
5 Journal of the American Mathematical Society
5 Geometric and Functional Analysis. GAFA
5 Aequationes Mathematicae
5 Bulletin des Sciences Mathématiques
5 Journal of Inequalities and Applications
5 Kodai Mathematical Seminar Reports
5 Advances in Calculus of Variations
5 Analysis & PDE
4 Canadian Mathematical Bulletin
4 Journal of Differential Equations
4 Journal für die Reine und Angewandte Mathematik
4 Numerical Functional Analysis and Optimization
4 Pacific Journal of Mathematics
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Probability Theory and Related Fields
4 SIAM Journal on Mathematical Analysis
4 Stochastic Processes and their Applications
...and 220 more Serials
all top 5

Cited in 57 Fields

295 Potential theory (31-XX)
292 Functional analysis (46-XX)
265 Harmonic analysis on Euclidean spaces (42-XX)
240 Measure and integration (28-XX)
240 Operator theory (47-XX)
217 Differential geometry (53-XX)
190 Functions of a complex variable (30-XX)
171 Global analysis, analysis on manifolds (58-XX)
143 Partial differential equations (35-XX)
100 Probability theory and stochastic processes (60-XX)
88 Convex and discrete geometry (52-XX)
77 Calculus of variations and optimal control; optimization (49-XX)
69 Real functions (26-XX)
67 Several complex variables and analytic spaces (32-XX)
62 Abstract harmonic analysis (43-XX)
55 Integral transforms, operational calculus (44-XX)
51 Combinatorics (05-XX)
38 Number theory (11-XX)
38 Linear and multilinear algebra; matrix theory (15-XX)
38 Topological groups, Lie groups (22-XX)
35 Quantum theory (81-XX)
33 Dynamical systems and ergodic theory (37-XX)
31 Approximations and expansions (41-XX)
27 Numerical analysis (65-XX)
22 Group theory and generalizations (20-XX)
22 Manifolds and cell complexes (57-XX)
21 Geometry (51-XX)
17 Special functions (33-XX)
12 Fluid mechanics (76-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Information and communication theory, circuits (94-XX)
10 Difference and functional equations (39-XX)
10 Statistics (62-XX)
9 Algebraic geometry (14-XX)
9 Integral equations (45-XX)
9 General topology (54-XX)
9 Computer science (68-XX)
6 Ordinary differential equations (34-XX)
6 Mechanics of deformable solids (74-XX)
6 Relativity and gravitational theory (83-XX)
6 Operations research, mathematical programming (90-XX)
5 Mathematical logic and foundations (03-XX)
5 Algebraic topology (55-XX)
5 Biology and other natural sciences (92-XX)
4 General and overarching topics; collections (00-XX)
4 \(K\)-theory (19-XX)
3 History and biography (01-XX)
3 Commutative algebra (13-XX)
3 Nonassociative rings and algebras (17-XX)
3 Optics, electromagnetic theory (78-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Field theory and polynomials (12-XX)
2 Category theory; homological algebra (18-XX)
2 Geophysics (86-XX)
1 Associative rings and algebras (16-XX)
1 Sequences, series, summability (40-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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