40 citations · 284 across the 52 of their papers we have counts for
55 papers
Some spherical function values for two-row tableaux and Young subgroups with three factors
Charles F. Dunkl
A Young subgroup of the symmetric group with three factors, is realized as the stabilizer of a monomial ( $=x_{1}^{λ_{1}}x_{2}^{λ_{2}}\cdots x_{N}^{…
Some Spherical Function Values for Hook Tableaux Isotypes and Young Subgroups
Charles F. Dunkl
A Young subgroup of the symmetric group , the permutation group of , is generated by a subset of the adjacenttranspositions $\{ ( i,i+1) \mid 1\…
Eigenvalues of Heckman-Polychronakos operators
Charles Dunkl, Vadim Gorin
Heckman-Polychronakos operators form a prominent family of commuting differential-difference operators defined in terms of the Dunkl operators as $\mathcal P_m= \sum…
The quantum harmonic oscillator with icosahedral symmetry and some explicit wavefunctions
Charles F. Dunkl
The Dunkl Laplacian is used to define the Hamiltonian of a modified quantum harmonic oscillator, associated with any finite reflection group. The potential is a sum of the inverse…
The Harmonic Oscillator with Reflections and Superintegrability
Charles F. Dunkl
The two-dimensional quantum harmonic oscillator is modified with reflection terms associated with the action of the Coxeter group , which is the symmetry group of the square.…
The Classification of All Singular Nonsymmetric Macdonald Polynomials
Charles F. Dunkl
The affine Hecke algebra of type has two parameters and acts on polynomials in variables. There are two important pairwise commuting sets of elements i…