Bent Fuglede | Academic Influence

Bent Fuglede's AcademicInfluence.com Rankings

Bent Fuglede

Mathematics

#917

World Rank

#1608

Historical Rank

Measure Theory

#660

World Rank

#901

Historical Rank

mathematics Degrees

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Mathematics

Bent Fuglede's Degrees

PhD Mathematics University of Copenhagen

Why Is Bent Fuglede Influential?

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According to Wikipedia, Bent Fuglede is a Danish mathematician and, since 1992, professor emeritus at the University of Copenhagen. Biography He is known for his contributions to mathematical analysis, in particular functional analysis, where he has proved Fuglede's theorem and stated Fuglede's conjecture.

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Bent Fuglede's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Jensen-Shannon divergence and Hilbert space embedding (2004) (515)
Commuting self-adjoint partial differential operators and a group theoretic problem (1974) (493)
Extremal length and functional completion (1957) (429)
A Commutativity Theorem for Normal Operators. (1950) (225)
DETERMINANT THEORY IN FINITE FACTORS (1952) (210)
On the theory of potentials in locally compact spaces (1960) (193)
Harmonic morphisms between riemannian manifolds (1978) (186)
Finely Harmonic Functions (1972) (180)
Harmonic Maps between Riemannian Polyhedra (2001) (146)
Stability in the isoperimetric problem for convex or nearly spherical domains in ⁿ (1989) (139)
Linear and Projective Representations of Symmetric Groups (2005) (103)
Approximation by solutions of partial differential equations (1992) (80)
The quasi topology associated with a countably subadditive set function (1971) (66)
HARMONIC MORPHISMS BETWEEN SEMI-RIEMANNIAN MANIFOLDS (1996) (61)
Plurisubharmonic and holomorphic functions relative to the plurifine topology (2010) (31)
Stability in the Isoperimetric Problem (1986) (30)
Hölder continuity of harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature (2003) (29)
The Dirichlet problem for harmonic maps from Riemannian polyhedra to spaces of upper bounded curvature (2005) (29)
Asymptotic paths for subharmonic functions and polygonal connectedness of fine domains (1980) (29)
Green kernels associated with Riesz kernels (2016) (28)
Orthogonal Exponentials on the Ball (2001) (28)
On a Direct Method of Integral Equations for Solving the Biharmonic Dirichlet Problem (1981) (26)
Spirals in Hilbert space: With an application in information theory (2005) (26)
On a Conjecture of Murray and von Neumann. (1951) (26)
On Determinants and a Property of the Trace in Finite Factors. (1951) (26)
Continuous Domain Dependence of the Eigenvalues of the Dirichlet Laplacian and Related Operators in Hilbert Space (1999) (25)
On the Relation $PQ -QP = -iI$. (1967) (25)
A Criterion of Non‐Vanishing Differential of a Smooth Map (1982) (25)
Asymptotic paths for subharmonic functions (1975) (24)
Integral representation of fine potentials (1983) (24)
Harmonic maps from Riemannian polyhedra to geodesic spaces with curvature bounded from above (2007) (22)
Bonnesen's inequality for the isoperimetric deficiency of closed curves in the plane (1991) (22)
The Dirichlet Laplacian on Finely Open Sets (1999) (21)
Localization in Fine Potential Theory and Uniform Approximation by Subharmonic Functions (1982) (20)
Some properties of the riesz charge associated with a δ-subharmonic function (1992) (18)
Finely harmonic mappings and finely holomorphic mappings (1976) (15)
On Generalized Potentials of Functions in the Lebesgue Classes. (1960) (15)
An Integral Formula. (1958) (14)
Condensers with Touching Plates and Constrained Minimum Riesz and Green Energy Problems (2017) (13)
Conditions for two self-adjoint operators to commute or to satisfy the Weyl relation. (1982) (13)
Minimum Riesz Energy Problems for a Condenser with Touching Plates (2015) (12)
On the imbedding problem for stochastic and doubly stochastic matrices (1988) (12)
Quasi topology and fine topology (1966) (12)
Constrained minimum Riesz energy problems for a condenser with intersecting plates (2017) (11)
Boundary minimum principles in potential theory (1974) (11)
Dirichlet Problems for Harmonic Maps from Regular Domains (2005) (11)
A Sharpening of Wielandt's Characterization of the Gamma Function (2008) (11)
Symmetric function kernels and sweeping of measures (2016) (11)
Harnack sets and openness of harmonic morphisms (1979) (11)
FINITE ENERGY MAPS FROM RIEMANNIAN POLYHEDRA TO METRIC SPACES (2003) (11)
An Alternative Concept of Riesz Energy of Measures with Application to Generalized Condensers (2018) (10)
Lower estimate of the isoperimetric deficit of convex domains inRn in terms of asymmetry (1993) (10)
Remarks on fine continuity and the base operation in potential theory (1974) (10)
Homotopy problems for harmonic maps to spaces of nonpositive curvature (2008) (9)
On the mean value property of finely harmonic and finely hyperharmonic functions (1990) (9)
Various Concepts of Riesz Energy of Measures and Application to Condensers with Touching Plates (2018) (8)
Value distribution of harmonic and finely harmonic morphisms and applications in complex analysis (1986) (8)
On the riesz charge of the lower envelope of δ-subharmonic functions (1992) (7)
No Two Quotients of Normalized Binomial Mid-coefficients Are Equal (1990) (7)
On a theorem of F. Riesz (1955) (6)
Potential Theory Copenhagen 1979 (1980) (6)
Liouville’s operator for a disc in space (1990) (6)
Extremal length and closed extensions of partial differential operators (1960) (6)
A simple proof that certain capacities decrease under contraction (1989) (5)
A priori inequalities connected with systems of partial differential equations (1961) (5)
Finely holomorphic functions and finely harmonic morphisms (1987) (5)
Domains of Existence for Finely Holomorphic Functions (2017) (5)
Martin Boundary of a Fine Domain and a Fatou-Naïm-Doob Theorem for Finely Superharmonic Functions (2014) (5)
Fine potential theory (1988) (5)
Normalized binomial mid-coefficients and power means (2005) (4)
On a trigonometric inequality of Turán (2012) (3)
The Fuglede theorem and some intertwining relations (2019) (3)
Invariant characterization of the fine topology in potential theory (1979) (3)
Complements to Havin's theorem on L^2-approximation by analytic functions (1985) (3)
The Dirichlet problem at the Martin boundary of a fine domain (2014) (3)
Constrained Gauss variational problems for a condenser with intersecting plates (2017) (3)
On the riesz representation of finely superharmonic functions (1988) (3)
Harmonic morphisms applied to classical potential theory (2011) (3)
MARTIN BOUNDARY OF A FINELY OPEN SET AND A FATOU-NATHEOREM FOR FINELY SUPERHARMONIC FUNCTIONS (2014) (3)
Sweeping at the Martin Boundary of a Fine Domain (2014) (2)
Positive projections of symmetric matrices and Jordan algebras (2013) (2)
Integration on thenth power of a hyperbolic space in terms of invariants under diagonal action of isometries (Lorentz transformations) (1990) (2)
Finely harmonic and finely hyperharmonic functions (1972) (2)
A SHARPENING OF A THEOREM OF BOULIGAND. WITH AN APPLICATION TO HARMONIC MAPS (2006) (2)
Poincaré Inequalities in L 1 -Norm for the Sphere and a Strong Isoperimetric Inequality in R n (1994) (1)
Balayage for Riesz kernels with application to potential theory for the associated Green kernels (2016) (1)
Domains of Existence for Finely Holomorphic Functions (2018) (0)
The Symmetric Normal Derivative of a Subharmonic Function II. (1963) (0)
Hyperorthogonal family of vectors and the associated Gram matrix (2014) (0)
MATHEMA TICS: B. FUGLEDE (2005) (0)
Constrained minimum Riesz energy problems for a condenser with intersecting plates (2020) (0)
Potential theory, Copenhagen 1979 : proceedings of a colloquium held in Copenhagen, May 14-18, 1979 (1980) (0)
Constrained minimum Riesz and Green energy problems for vector measures associated with a generalized condenser (2018) (0)
Symmetric function kernels and sweeping of measures (2016) (0)
Capacity in axiomatic potential theory (1972) (0)
An Alternative Concept of Riesz Energy of Measures with Application to Generalized Condensers (2018) (0)
Minimum Riesz Energy Problems for a Condenser with Touching Plates (2015) (0)
Condensers with Touching Plates and Constrained Minimum Riesz and Green Energy Problems (2019) (0)
Sweeping at the Martin Boundary of a Fine Domain (2015) (0)
Value distribution of finely harmonic morphisms and applications in complex analysis(POTENTIAL THEORY AND ITS APPLICATIONS) (1983) (0)
Polyhedra as domains of harmonic maps (2010) (0)
The Harald Bohr Centenary : proceedings of a symposium held in Copenhagen , April 24-25 1987 (1989) (0)
UvA-DARE (Digital Academic Domains of Existence for Finely Holomorphic Functions Domains of Existence for Finely Holomorphic Functions (2018) (0)
Martin Boundary of a Fine Domain and a Fatou-Naïm-Doob Theorem for Finely Superharmonic Functions (2015) (0)

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