36 citations · 214 across the 29 of their papers we have counts for
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Cubature rules for unitary Jacobi ensembles
Jan Felipe van Diejen, Erdal Emsiz
We present Chebyshev type cubature rules for the exact integration of rational symmetric functions with poles on prescribed coordinate hyperplanes. Here the integration is with res…
Cubature rules from Hall-Littlewood polynomials
Jan Felipe van Diejen, Erdal Emsiz
Discrete orthogonality relations for Hall-Littlewood polynomials are employed, so as to derive cubature rules for the integration of homogeneous symmetric functions with respect to…
Exact cubature rules for symmetric functions
J. F. van Diejen, E. Emsiz
We employ a multivariate extension of the Gauss quadrature formula, originally due to Berens, Schmid and Xu [BSX95], so as to derive cubature rules for the integration of symmetric…
Quadrature rules from finite orthogonality relations for Bernstein-Szego polynomials
J. F. van Diejen, E. Emsiz
We glue two families of Bernstein-Szego polynomials to construct the eigenbasis of an associated finite-dimensional Jacobi matrix. This gives rise to finite orthogonality relations…
Discrete Fourier transform associated with generalized Schur polynomials
J. F. van Diejen, E. Emsiz
We prove the Plancherel formula for a four-parameter family of discrete Fourier transforms and their multivariate generalizations stemming from corresponding generalized Schur poly…