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@article{faucris.116279504,
abstract = {We study the generalization of shifted Jack polynomials to arbitrary multiplicity free spaces. In a previous paper we showed that these polynomials are eigenfunctions for commuting difference operators. Our central result now is the "transposition formula", a generalization of Okounkov's binomial theorem for shifted Jack polynomials. From this formula, we derive an interpolation formula, an evaluation formula, a scalar product, a binomial theorem, and properties of the algebra generated by the multiplication and difference operators.},
author = {Knop, Friedrich},
doi = {10.1016/S0021-8693(02)00633-6},
faupublication = {no},
journal = {Journal of Algebra},
pages = {194-229},
peerreviewed = {Yes},
title = {{Combinatorics} and invariant differential operators on multiplicity free spaces},
volume = {260},
year = {2003}
}