Charles F. Dunkl
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American mathematician
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Charles F. Dunklmathematics Degrees
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Measure Theory
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Mathematics
Why Is Charles F. Dunkl Influential?
(Suggest an Edit or Addition)According to Wikipedia, Charles F. Dunkl is a mathematician at the University of Virginia who introduced Dunkl operators. Selected works with Donald E. Ramirez: with Donald E. Ramirez: with Donald E. Ramirez: with M. F. E. de Jeu; E. M. Opdam: with Yuan Xu: with E. M. Opdam:
Charles F. Dunkl'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
- Differential-difference operators associated to reflection groups (1989) (1118)
- Integral Kernels with Reflection Group Invariance (1991) (479)
- Hankel transforms associated to finite reflection groups (1992) (368)
- Orthogonal Polynomials of Several Variables: Subject index (2001) (278)
- The measure algebra of a locally compact hypergroup (1973) (219)
- Topics in harmonic analysis (1971) (172)
- Dunkl Operators for Complex Reflection Groups (2001) (148)
- Reflection groups and orthogonal polynomials on the sphere (1988) (131)
- Singular polynomials for finite reflection groups (1994) (119)
- Orthogonal Polynomials of Several Variables: Preface (2001) (110)
- A Simple Norm Inequality (1964) (104)
- Intertwining operators associated to the group (1995) (65)
- Generalized Jack polynomials and the representation theory of rational Cherednik algebras (2010) (61)
- Encyclopaedia of Mathematics, Supplement III (2002) (59)
- Orthogonal Polynomials of Types A and B and Related Calogero Models (1997) (51)
- A family of countably compact _{∗}-hypergroups (1975) (50)
- Intertwining operators and polynomials associated with the symmetric group (1998) (47)
- Weakly almost periodic functionals on the Fourier algebra (1973) (46)
- Operators and harmonic analysis on the sphere (1966) (42)
- An addition theorem for someq-Hahn polynomials (1978) (40)
- An Addition Theorem for Hahn Polynomials: The Spherical Functions (1978) (32)
- Orthogonal polynomials on the hexagon (1987) (28)
- Orthogonal Polynomials with Symmetry of Order Three (1984) (27)
- Discrete quadrature and bounds on $t$-designs. (1979) (27)
- Numerical shadow and geometry of quantum states (2011) (26)
- Krawtchouk Polynomials and the Symmetrization of Hypergroups (1974) (26)
- Singular Polynomials and Modules for the Symmetric Groups (2005) (26)
- Poisson and Cauchy kernels for orthogonal polynomials with dihedral symmetry (1989) (24)
- Polynomial Eigenfunctions of the Calogero—Sutherland—Moser Models with Exchange Terms (2000) (23)
- Singular polynomials for the symmetric groups (2004) (22)
- Some Rarita–Schwinger Type Operators (2011) (22)
- Computing hyperelliptic integrals for surface measure of ellipsoids (1994) (22)
- Orthogonal polynomials on the sphere with octahedral symmetry (1984) (21)
- AN INTERTWINING OPERATOR FOR THE GROUP B 2 (2006) (21)
- Differential-difference operators and monodromy representations of Hecke algebras (1993) (20)
- Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant (2009) (20)
- A LAGUERRE POLYNOMIAL ORTHOGONALITY AND THE HYDROGEN ATOM (2000) (20)
- Algorithm 736: Hyperelliptic integrals and the surface measure of ellipsoids (1994) (19)
- Orthogonal Polynomials in Two Variables of q-Hahn and q-Jacobi Type (1980) (19)
- Reflection groups in analysis and applications (2008) (18)
- A difference equation and Hahn polynomials in two variables. (1981) (17)
- Structure hypergroups for measure algebras. (1973) (17)
- Harmonic polynomials and peak sets of reflection groups (1989) (17)
- Restricted numerical shadow and the geometry of quantum entanglement (2012) (17)
- Moment-based evidence for simple rational-valued Hilbert–Schmidt generic 2 × 2 separability probabilities (2011) (16)
- *-algebras generated by Fourier-Stieltjes transforms (1972) (16)
- Separability Probability Formulas and Their Proofs for Generalized Two-Qubit X-Matrices Endowed with Hilbert-Schmidt and Induced Measures (2015) (16)
- Orthogonal Polynomials of Several Variables: Orthogonal Polynomials Associated with Octahedral Groups and Applications (2001) (16)
- Numerical shadows: Measures and densities on the numerical range (2010) (15)
- Computing with Differential-difference Operators (1999) (14)
- Representations of Commutative Semitopological Semigroups (1975) (14)
- Operators Commuting with Coexeter Group Actions on Polynomials (1990) (14)
- Formulas for Rational-Valued Separability Probabilities of Random Induced Generalized Two-Qubit States (2014) (13)
- Homomorphisms on groups and induced maps on certain algebras of measures (1971) (13)
- Translation in measure algebras and the correspondence to Fourier transforms vanishing at infinity. (1970) (13)
- Symmetric functions and BN-invariant spherical harmonics (2002) (12)
- Vector-Valued Jack Polynomials from Scratch (2010) (11)
- The Poisson kernel for Heisenberg polynomials on the disk (1984) (11)
- Bounded projections on Fourier-Stieltjes transforms (1972) (11)
- Boundary Value Problems for Harmonic Functions on the Heisenberg Group (1986) (10)
- A family of Crouzeix–Raviart finite elements in 3D (2017) (10)
- Cube group invariant spherical harmonics and Krawtchouk polynomials (1981) (10)
- Symmetric and Antisymmetric Vector-valued Jack Polynomials (2010) (9)
- L∞-representations of commutative semitopological semigroups (1974) (9)
- Clustering properties of rectangular Macdonald polynomials (2012) (9)
- Existence and nonuniqueness of invariant means on ℒ (1972) (8)
- Vector-valued Jack polynomials and wavefunctions on the torus (2017) (8)
- Helson sets in compact and locally compact groups. (1972) (8)
- Polynomials Associated with Dihedral Groups (2007) (8)
- Subalgebras of the dual of the Fourier algebra of a compact group (1972) (7)
- Generalized two-qubit whole and half Hilbert-Schmidt separability probabilities (2014) (7)
- Integrals of polynomials associated with tableaux and the Garsia-Haiman conjecture (1998) (7)
- Multipliers on compact groups (1971) (7)
- Orthogonal Polynomials of Several Variables: Preface to the Second Edition (2014) (7)
- Vector-Valued Polynomials and a Matrix Weight Function with B2-Action (2012) (7)
- Vector valued Macdonald polynomials (2011) (7)
- Weakly almost periodic functionals carried by hypercosets (1972) (7)
- Orthogonal polynomials and a Dirichlet problem related to the Hilbert transform (1984) (7)
- Some Rarita-Schwinger Operators (2011) (7)
- Sidon sets on compact groups (1971) (6)
- Computation of the Generalized F Distribution (1999) (6)
- Vector Polynomials and a Matrix Weight Associated to Dihedral Groups (2013) (6)
- Orthogonal Polynomials of Several Variables: Examples of Orthogonal Polynomials in Several Variables (2001) (6)
- Orthogonality Measure on the Torus for Vector-Valued Jack Polynomials (2015) (6)
- Modules over commutative Banach algebras (1970) (6)
- Functions that operate in the Fourier algebra of a compact group (1969) (6)
- A Linear System of Differential Equations Related to Vector-Valued Jack Polynomials on the Torus (2016) (5)
- The Sums of a Double Hypergeometric Series and of the First m+1 Terms of 3F2(a,b,c;(a+b+1)/2,2c;1) when c = -m is a Negative Integer (2014) (5)
- Hilbert space representations (1975) (5)
- An Expansion in Ultraspherical Polynomials with Nonnegative Coefficients (1974) (5)
- Locally compact subgroups of the spectrum of the measure algebra III (1971) (5)
- Planar harmonic polynomials of type B (1999) (4)
- Sections induced from weakly sequentially complete spaces (1973) (4)
- Factorizations of Symmetric Macdonald Polynomials (2017) (4)
- Products of Beta distributed random variables (2013) (4)
- Fourier-Stieltjes transforms and weakly almost periodic functionals for compact groups. (1971) (4)
- C*-ALGEBRAS GENERATED BY FOURIER-STIELTJES TRANSFORMS^) (2010) (4)
- Locally compact subgroups of the spectrum of the measure algebra (1971) (4)
- Monodromy of hypergeometric functions for dihedral groups (1993) (3)
- $C^*$-algebras generated by measures (1971) (3)
- Real numerical shadow and generalized B-splines (2014) (3)
- The Smallest Singular Values and Vector-Valued Jack Polynomials (2018) (3)
- Some Orthogonal Polynomials in Four Variables (2008) (3)
- Orthogonal Polynomials of Several Variables: Generalized Classical Orthogonal Polynomials (2014) (3)
- GENERATING FUNCTIONS ASSOCIATED WITH DIHEDRAL GROUPS (2000) (2)
- Singular Nonsymmetric Macdonald Polynomials and Quasistaircases (2019) (2)
- Hook-lengths and pairs of compositions (2004) (2)
- Examples of Orthogonal Polynomials in Several Variables (2014) (2)
- Locally compact subgroups of the spectrum of the measure algebra II (1971) (2)
- Measure of Dirichlet type on regular polygons and their moments (1992) (2)
- A positive-definite inner product for vector-valued Macdonald polynomials (2018) (2)
- Orthogonal Polynomials and Reflection Groups (2001) (1)
- Summability of Orthogonal Expansions (2014) (1)
- Orthogonal Polynomials of Several Variables: Classical and Generalized Classical Orthogonal Polynomials (2001) (1)
- Nonsymmetric Macdonald Superpolynomials (2020) (1)
- Multipliers on modules over the Fourier algebra (1972) (1)
- Special functions : proceedings of the International Workshop, Hong Kong, 21-25 June 1999 (2000) (1)
- Dunkl Operators and Related Special Functions (2012) (1)
- Singular polynomials for the symmetric group and Krawtchouk polynomials (2003) (1)
- Commutators of maximal operator associated with the Dunkl operators on Orlicz spaces (2019) (1)
- The smallest singular values of the icosahedral group (2018) (1)
- Whole and Half Generalized Two-Qubit Hilbert-Schmidt Separability Probabilities (2014) (1)
- Vector-Valued Polynomials and a Matrix Weight Function with $B_2$-Action. II (2013) (1)
- Linear Functionals on Homogeneous Polynomials (1968) (1)
- The B2 Harmonic Oscillator with Reflections and Superintegrability (2022) (1)
- Special functions and generating functions associated with reflection groups (2003) (1)
- Operators on the Fourier Algebra with Weakly Compact Extensions (1974) (1)
- Connections between vector-valued and highest weight Jack and Macdonald polynomials (2019) (1)
- A superpolynomial version of nonsymmetric Jack polynomials (2020) (0)
- General Properties of Orthogonal Polynomials in Several Variables (2014) (0)
- Singular Nonsymmetric Jack Polynomials for Some Rectangular Tableaux (2020) (0)
- Orthogonal Polynomials of Several Variables: Spherical Harmonics Associated with Reflection Groups (2001) (0)
- The Classification of All Singular Nonsymmetric Macdonald Polynomials (2021) (0)
- Average c-E ± ciency (1998) (0)
- Bounded derivations on commutative semigroups (1975) (0)
- Erratum to: “Weakly almost periodic functionals on the Fourier algebra” (Trans. Amer. Math. Soc. 185 (1973), 501–514) (1974) (0)
- Orthogonal Polynomials Associated with Symmetric Groups (2014) (0)
- MULTIPLIERS ON COMPACT GROUPS1 (2010) (0)
- DUNKL OPERATORS : AN OVERVIEW (2014) (0)
- Discrete separative semigroups (1975) (0)
- Proceedings of OPSFA12, 2013 (2015) (0)
- 2 8 A ug 2 00 1 DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS (2001) (0)
- Orthogonal Polynomials of Several Variables: Summability of Orthogonal Expansions (2001) (0)
- Positive-definite and completely positive functions (1975) (0)
- C*-ALGEBRAS GENERATED BY FOURIER-STIELTJES (2015) (0)
- The quantum harmonic oscillator with icosahedral symmetry and some explicit wavefunctions (2023) (0)
- 2 Yang – Baxter type graph associated to a partition 2 . 1 Sorting a vector (2011) (0)
- C A ] 3 1 Ju l 2 00 6 An Intertwining Operator for the Group B (2018) (0)
- Spherical Harmonics Associated with Reflection Groups (2014) (0)
- convolution operators supported by subgroups (1972) (0)
- CONVOLUTION OPERATORS SUPPORTED BY SUBGROUPS1 (1972) (0)
- MULTIPLIERS ON COMPACT GROUPS 1 (2010) (0)
- Singular Integrals on Ultraspherical Series (1972) (0)
- Evaluation of Nonsymmetric Macdonald Superpolynomials at Special Points (2021) (0)
- We begin by defining the multivariate elliptic integral Ill ~ Ill for a positive definite matrix X with eigenvalues yl > "~o > y. >0 as (1994) (0)
- Orthogonal Polynomials in Two Variables (2014) (0)
- ERRATUM TO "WEAKLY ALMOST PERIODIC FUNCTIONALS ON THE FOURIER ALGEBRA" (1974) (0)
- Root Systems and Coxeter Groups (2014) (0)
- Subsemigroups of locally compact abelian groups and weakly almost periodic functions (1975) (0)
- Special cases of Q-representations (1975) (0)
- Planar Harmonic and Monogenic Polynomials of Type A (2016) (0)
- EXISTENCE AND NONUNIQUENESS OF INVARIANT MEANS ON JSf°°(C7) (2010) (0)
- TRANSFORMS, POLYNOMIALS AND INTEGRABLE MODELS ASSOCIATED WITH REFLECTION GROUPS (2008) (0)
- A linear programming problem in harmonic analysis (1976) (0)
- Some Singular Vector-Valued Jack and Macdonald Polynomials (2019) (0)
- WEAKLY ALMOST PERIODIC FUNCTIONALS CARRIED BY HYPERCOSETSf ) (2010) (0)
- Orthogonal Polynomials of Several Variables: General Properties of Orthogonal Polynomials in Several Variables (2001) (0)
- Orthogonal Polynomials on the Unit Sphere (2014) (0)
- The representation algebra (1975) (0)
- Some Rarita–Schwinger Type Operators (2013) (0)
- Representations in Q-algebras (1975) (0)
- Intertwining operators of type _ (1999) (0)
- Orthogonal Polynomials Associated with Octahedral Groups, and Applications (2014) (0)
- Climate debate goes on (2009) (0)
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