Bent Fuglede - Author Profile

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Fuglede, Bent (b. 1925 d. 2023)

Author ID:	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
	646 Co-Co-Authors

all top 5

Co-Authors

89	single-authored
9	Zorii, Natalia
4	El Kadiri, Mohamed
3	Berg, Christian
3	Dragnev, Peter D.
3	Hardin, Douglas P.
3	Kadison, Richard Vincent
3	Saff, Edward Barry
2	Alzer, Horst
2	Wiegerinck, Jan J. O. O.
1	Bang, Thøger
1	Bensaid, Ikram Fatima Zohra
1	Dehimi, Souheyb
1	Eells, James jun.
1	Forst, Gunnar
1	Goldstein, Myron
1	Gromov, Mikhael Leonidovich
1	Groot, Alan
1	Haußmann, Werner
1	Hayman, Walter Kurt
1	Jensen, Søren Tolver
1	Mortad, Mohammed Hichem
1	Rogge, Lothar
1	Schwartz, Laurent
1	Sodin, Mikhail
1	Yeremenko, Oleksandr Emmanuïlovych

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

all top 5

Fields

59	Potential theory (31-XX)
12	Differential geometry (53-XX)
11	Global analysis, analysis on manifolds (58-XX)
9	Functions of a complex variable (30-XX)
9	Calculus of variations and optimal control; optimization (49-XX)
7	Convex and discrete geometry (52-XX)
6	Partial differential equations (35-XX)
6	Operator theory (47-XX)
4	Real functions (26-XX)
4	Harmonic analysis on Euclidean spaces (42-XX)
4	Functional analysis (46-XX)
3	General and overarching topics; collections (00-XX)
3	Linear and multilinear algebra; matrix theory (15-XX)
3	Measure and integration (28-XX)
3	Several complex variables and analytic spaces (32-XX)
3	Approximations and expansions (41-XX)
3	Abstract harmonic analysis (43-XX)
3	General topology (54-XX)
2	Number theory (11-XX)
2	Manifolds and cell complexes (57-XX)
1	Combinatorics (05-XX)
1	Topological groups, Lie groups (22-XX)
1	Special functions (33-XX)
1	Integral transforms, operational calculus (44-XX)
1	Integral equations (45-XX)
1	Probability theory and stochastic processes (60-XX)
1	Quantum theory (81-XX)
1	Information and communication theory, circuits (94-XX)
1	Mathematics education (97-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

101 Publications have been cited 2,059 times in 1,649 Documents	Cited by ▼	Year ▼
Commuting self-adjoint partial differential operators and a group theoretic problem. Zbl 0279.47014 Fuglede, Bent	333	1974
Extremal length and functional completion. Zbl 0079.27703 Fuglede, Bent	223	1957
Harmonic morphisms between Riemannian manifolds. Zbl 0339.53026 Fuglede, Bent	154	1978
Determinant theory in finite factors. Zbl 0046.33604 Fuglede, Bent; Kadison, Richard V.	126	1952
A commutativity theorem for normal operators. Zbl 0035.35804 Fuglede, Bent	104	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	87	1989
On the theory of potentials in locally compact spaces. Zbl 0115.31901 Fuglede, Bent	85	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	29	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	21	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
An integral formula. Zbl 0088.14702 Fuglede, Bent	18	1958
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
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
Fonctions harmoniques et fonctions finement harmoniques. Zbl 0287.31003 Fuglede, Bent	15	1974
Finely harmonic mappings and finely holomorphic functions. Zbl 0345.31008 Fuglede, Bent	15	1976
On a direct method of integral equations for solving the biharmonic Dirichlet problem. Zbl 0478.35041 Fuglede, Bent	14	1981
Hölder continuity of harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature. Zbl 1025.31004 Fuglede, Bent	14	2003
Continuous domain dependence of the eigenvalues of the Dirichlet Laplacian and related operators in Hilbert space. Zbl 0948.47047 Fuglede, Bent	14	1999
Harmonic maps from Riemannian polyhedra to geodesic spaces with curvature bounded from above. Zbl 1133.58004 Fuglede, Bent	14	2008
Connection on fine topology and balayage of measures. (Connexion en topologie fine et balayage des mesures.) Zbl 0208.13802 Fuglede, Bent	12	1971
On the relation \(PQ-QP =-iI\). Zbl 0149.10101 Fuglede, Bent	12	1967
Stability in the isoperimetric problem. Zbl 0603.49018 Fuglede, Bent	12	1986
Bonnesen’s inequality for the isoperimetric deficiency of closed curves in the plane. Zbl 0723.53001 Fuglede, Bent	11	1991
Finely holomorphic functions. A survey. Zbl 0671.31006 Fuglede, Bent	11	1988
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
Some properties of the Riesz charge associated with a \(\delta\)- subharmonic function. Zbl 0766.31010 Fuglede, Bent	10	1992
Conditions for two self-adjoint operators to commute or to satisfy the Weyl relation. Zbl 0479.47024 Fuglede, Bent	9	1982
Asymptotic paths for subharmonic functions. Zbl 0283.31001 Fuglede, Bent	9	1975
Asymptotic paths for subharmonic functions and polygonal connectedness of fine domains. Zbl 0445.31003 Fuglede, Bent	9	1980
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
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
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
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
Harnack sets and openness of harmonic morphisms. Zbl 0401.31004 Fuglede, Bent	8	1979
Dirichlet problems for harmonic maps from regular domains. Zbl 1080.58015 Fuglede, Bent	7	2005
On a theorem of F. Riesz. Zbl 0067.27901 Fuglede, Bent	7	1955
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
Extremal length and closed extensions of partial differential operators. Zbl 0171.06203 Fuglede, Bent	6	1960
Remarks on fine continuity and the base operation in potential theory. Zbl 0273.31014 Fuglede, Bent	6	1974
Caractérisation des noyaux consistants en théorie du potentiel. Zbl 0103.07102 Fuglede, Bent	6	1962
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
Localization in fine potential theory and uniform approximation by subharmonic functions. Zbl 0503.31003 Fuglede, Bent	5	1982
Finite energy maps from Riemannian polyhedra to metric spaces. Zbl 1066.58008 Fuglede, Bent	5	2003
A sharpening of Wielandt’s characterization of the gamma function. Zbl 1189.33004 Fuglede, Bent	5	2008
Fonctions finement holomorphes de plusieurs variables - un essai. (Fine holomorphic functions of several complex variables - an essay). Zbl 0595.32008 Fuglede, Bent	5	1986
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	5	1988
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
An alternative concept of Riesz energy of measures with application to generalized condensers. Zbl 1432.31006 Fuglede, Bent; Zorii, Natalia	5	2019
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
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
The logarithmic potential in higher dimensions. Zbl 0098.07002 Fuglede, Bent	4	1960
Homotopy problems for harmonic maps to spaces of nonpositive curvature. Zbl 1196.58006 Fuglede, Bent	4	2008
Various concepts of Riesz energy of measures and application to condensers with touching plates. Zbl 1456.31008 Fuglede, Bent; Zorii, Natalia	4	2020
Invariant characterization of the fine topology in potential theory. Zbl 0402.31015 Fuglede, Bent	4	1979
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
The Dirichlet problem at the Martin boundary of a fine domain. Zbl 1378.31005 El Kadiri, Mohamed; Fuglede, Bent	4	2018
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
Un nouveau théorème sur les distributions. Zbl 0151.18202 Fuglede, Bent; Schwartz, Laurent	3	1966
The Fuglede theorem and some intertwining relations. Zbl 1520.47001 Bensaid, Ikram Fatima Zohra; Dehimi, Souheyb; Fuglede, Bent; Mortad, Mohammed Hichem	3	2021
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
Value distribution of harmonic and finely harmonic morphisms and applications in complex analysis. Zbl 0607.31002 Fuglede, Bent	3	1986
A simple proof that certain capacities decrease under contraction. Zbl 0705.31008 Fuglede, Bent	3	1989
Domains of existence for finely holomorphic functions. Zbl 1431.30036 Fuglede, Bent; Groot, Alan; Wiegerinck, Jan	3	2019
Boundary minimum principles in potential theory. Zbl 0272.31006 Fuglede, Bent	2	1974
Harmonic morphisms. Zbl 0414.53033 Fuglede, Bent	2	1979
A sharpening of a theorem of Bouligand. With an application to harmonic maps. Zbl 1103.31006 Fuglede, Bent	2	2006
Continuous selection in a convexity theorem of Minkowski. Zbl 0596.52005 Fuglede, Bent	2	1986
Harmonic maps from Riemannian polyhedra to space of nonpositive curvature. Zbl 1199.58007 Fuglede, Bent	2	2005
On the Riesz charge of the lower envelope of \(\delta\)-subharmonic functions. Zbl 1081.31500 Eremenko, Alexandre; Fuglede, Bent; Sodin, Mikhail	2	1992
On the mean value property of finely harmonic and finely hyperharmonic functions. Zbl 0709.31002 Fuglede, Bent	2	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 a trigonometric inequality of Turán. Zbl 1253.42001 Alzer, Horst; Fuglede, Bent	2	2012
Capacitabilité des ensembles sousliniens en théorie du potentiel. Zbl 0104.32804 Fuglede, Bent	1	1962
A priori inequalities connected with systems of partial differential equations. Zbl 0113.08101 Fuglede, Bent	1	1961
Esquisse d’une théorie axiomatique de l’effilement et de la capacité. Zbl 0192.20401 Fuglede, Bent	1	1965
The beginnings of harmonic morphisms. Zbl 0948.53036 Fuglede, Bent	1	2000
Quasi-continuité des potentiels d’énergie finie par rapport à un noyau consistant. Zbl 0103.07101 Fuglede, Bent	1	1962
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
Finely holomorphic functions and finely harmonic morphisms. Zbl 0647.31005 Fuglede, Bent	1	1987
Complements to Havin’s theorem on \(L^ 2\)-approximation by analytic functions. Zbl 0587.30037 Fuglede, Bent	1	1985
The Fuglede theorem and some intertwining relations. Zbl 1520.47001 Bensaid, Ikram Fatima Zohra; Dehimi, Souheyb; Fuglede, Bent; Mortad, Mohammed Hichem	3	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	21	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	29	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	10	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
On the mean value property of finely harmonic and finely hyperharmonic functions. Zbl 0709.31002 Fuglede, Bent	2	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
Stability in the isoperimetric problem for convex or nearly spherical domains in \({\mathbb{R}}^ n\). Zbl 0679.52007 Fuglede, Bent	87	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	5	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	154	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	333	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	12	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	85	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	18	1958
Extremal length and functional completion. Zbl 0079.27703 Fuglede, Bent	223	1957
On a theorem of F. Riesz. Zbl 0067.27901 Fuglede, Bent	7	1955
Determinant theory in finite factors. Zbl 0046.33604 Fuglede, Bent; Kadison, Richard V.	126	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 cited Publications top 5 cited Publications

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Cited by 1,504 Authors

52	Jørgensen, Palle E. T.
43	Fuglede, Bent
29	Gudmundsson, Sigmundur
28	Sevost’yanov, Yevgen Oleksandrovych
28	Zorii, Natalia
25	Li, Jianlin
23	Liu, Jingcheng
21	Dutkay, Dorin Ervin
20	Stochel, Jan
19	Lai, Chun-Kit
17	Fusco, Nicola
16	Chen, Ming-Liang
16	Pedersen, Steen
14	Shlyk, Vladimir Alekseevich
13	Salimov, Ruslan Radikovich
12	Dong, Xinhan
12	Kolountzakis, Mihail N.
12	Martio, Olli
12	Wang, Zhiyong
11	Baird, Paul
11	He, Xinggang
10	An, Lixiang
10	Fu, Yan-Song
10	Gabardo, Jean-Pierre
10	Gardiner, Stephen J.
10	Mortad, Mohammed Hichem
10	Rubin, Boris
10	Ryazanov, Vladimir Il’ich
10	Wang, Yang
9	Afanas’eva, Elena Sergeevna
9	Alzer, Horst
9	Dragomir, Sorin
9	El Kadiri, Mohamed
9	Golberg, Anatoly
9	Iosevich, Alex
9	Li, Qian
9	Malý, Jan
9	Mayeli, Azita
9	Ou, Ye-Lin
8	Akyol, Mehmet Akif
8	Björn, Jana
8	Ghandour, Elsa
8	Hansen, Wolfhard
8	Heinonen, Juha
8	Lahti, Panu
8	Lev, Nir
8	Maggi, Francesco
8	Saff, Edward Barry
8	Schmüdgen, Konrad
8	Su, Juan
8	Szafraniec, Franciszek Hugon
8	Tang, Min-wei
8	Zhang, Minmin
7	Björn, Anders
7	Dymchenko, Yuriĭ Viktorovich
7	Feki, Kais
7	Markina, Irina
7	Netuka, Ivan
7	Pratelli, Aldo
7	Saloff-Coste, Laurent
7	Sukochev, Fedor Anatol’evich
7	Svensson, Martin
7	Wu, Zhiyi
7	Xu, Yuan
7	Yan, Zhi-Hui
7	Zanin, Dmitriy V.
6	Adams, David Randolph
6	Ai, Wenhui
6	Ciska-Niedziałomska, Małgorzata
6	Dai, Xinrong
6	Dragnev, Peter D.
6	Dykema, Kenneth J.
6	Fu, Xiaoye
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.
5	Cichoń, Dariusz
5	Figalli, Alessio
5	Fu, Siqi
5	Goldman, Michael
5	Gupta, Garima
5	Hoang Van Can
5	Il’yutko, Denis Petrovich
5	Jung, Il Bong
5	Kadison, Richard Vincent
5	Kiss, Gergely
5	Kumar, Rakesh
5	Kumar, Sushil
...and 1,404 more Authors

all top 5

Cited in 329 Serials

100	Journal of Functional Analysis
74	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
24	The Journal of Fourier Analysis and Applications
23	The Journal of Geometric Analysis
23	Complex Analysis and Operator Theory
22	Journal d’Analyse Mathématique
22	Mathematische Zeitschrift
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	Analysis Mathematica
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	Israel Journal of Mathematics
11	Integral Equations and Operator Theory
11	Mathematische Nachrichten
11	Siberian Mathematical Journal
11	Constructive Approximation
10	Archiv der Mathematik
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	Nonlinearity
9	Results in Mathematics
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	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	The Annals of Probability
6	Journal of Approximation Theory
6	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6	Proceedings of the Edinburgh Mathematical Society. Series II
6	Rendiconti del Circolo Matemàtico di Palermo. Serie II
6	Acta Mathematica Hungarica
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
6	Sampling Theory, Signal Processing, and Data Analysis
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	Journal of the American Mathematical Society
5	Geometric and Functional Analysis. GAFA
5	Aequationes Mathematicae
5	SIAM Journal on Mathematical Analysis
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
...and 229 more Serials

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Cited in 57 Fields

297	Functional analysis (46-XX)
296	Potential theory (31-XX)
283	Harmonic analysis on Euclidean spaces (42-XX)
252	Measure and integration (28-XX)
248	Operator theory (47-XX)
222	Differential geometry (53-XX)
192	Functions of a complex variable (30-XX)
173	Global analysis, analysis on manifolds (58-XX)
144	Partial differential equations (35-XX)
101	Probability theory and stochastic processes (60-XX)
90	Convex and discrete geometry (52-XX)
78	Calculus of variations and optimal control; optimization (49-XX)
70	Real functions (26-XX)
69	Several complex variables and analytic spaces (32-XX)
67	Abstract harmonic analysis (43-XX)
56	Integral transforms, operational calculus (44-XX)
55	Combinatorics (05-XX)
39	Number theory (11-XX)
39	Topological groups, Lie groups (22-XX)
36	Linear and multilinear algebra; matrix theory (15-XX)
35	Quantum theory (81-XX)
32	Dynamical systems and ergodic theory (37-XX)
32	Approximations and expansions (41-XX)
28	Numerical analysis (65-XX)
25	Group theory and generalizations (20-XX)
22	Geometry (51-XX)
22	Manifolds and cell complexes (57-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)
8	Operations research, mathematical programming (90-XX)
6	Ordinary differential equations (34-XX)
6	Mechanics of deformable solids (74-XX)
6	Relativity and gravitational theory (83-XX)
6	Biology and other natural sciences (92-XX)
5	Mathematical logic and foundations (03-XX)
5	\(K\)-theory (19-XX)
5	Algebraic topology (55-XX)
4	General and overarching topics; collections (00-XX)
3	History and biography (01-XX)
3	Field theory and polynomials (12-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	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)

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