Erdal Emsiz Address: Delft Institute of Applied Mathematics Faculty of Electrical Engineering, Mathematics & Computer Science Delft University of Technology Mekelweg 4, 2628 CD, Delft Room: 36.HB 07.060 Email: eXemsiz@tudelftXnl (X=dot) Phone: +31152784579

Teaching:

Publications (Online first):

Publications:

28. J. F. van Diejen & E. Emsiz. Cubature rules for unitary Jacobi ensembles. Constructive Approx. 54 (2021), 145–156.

27. J. F. van Diejen & E. Emsiz. Cubature rules from Hall-Littlewood polynomials. IMA Journal of Numerical Analysis 41 (2021), 998--1030.

26. J. F. van Diejen & E. Emsiz. Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions J. Differential Eqs. 268 (2020), 4525--4543.

25. J. F. van Diejen & E. Emsiz. Exact cubature rules for symmetric functions. Mathematics of Computation 88 (2019), 1229--1249.

24. J. F. van Diejen & E. Emsiz. Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials. Lett. Math. Phys. 109 (2019), 89--112

23. J. F. van Diejen & E. Emsiz. Bispectral Dual Difference Equations for the Quantum Toda Chain with Boundary Perturbations. Int. Math. Res. Not. 2019 (2019), 3740--3767

22. J. F. van Diejen & E. Emsiz. Quadrature rules from finite orthogonality relations for Bernstein-Szegö polynomials. Proc. Amer. Math. Soc. 146 (2018), 5333--5347.

21. J. F. van Diejen, E. Emsiz & I. N. Zurrián. Completeness of the Bethe Ansatz for an open q-boson system with integrable boundary interactions. Ann. Henri Poincaré 19 (2018), 1349--1384.

20. J. F. van Diejen & E. Emsiz. Discrete Fourier transform associated with generalized Schur polynomials. Proc. Amer. Math. Soc. 146 (2018), 3459--3472.

19. J. F. van Diejen & E. Emsiz. Branching rules for symmetric hypergeometric polynomials. Adv. Stud. Pure Math. 74 (2015), 125--153.

18. J. F. van Diejen & E. Emsiz. Orthogonality of Bethe Ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove. Comm. Math. Phys. 350 (2017), 1017--1067.

17. J. F. van Diejen & E. Emsiz. Spectrum and eigenfunctions of the lattice hyperbolic Ruijsenaars-Schneider system with exponential Morse term. Ann. Henri Poincaré 17 (2016), 1615--1629.

16. J. F. van Diejen & E. Emsiz. Branching formula for Macdonald-Koornwinder polynomials. J. Algebra 444 (2015), 606--6014.

15. J. F. van Diejen & E. Emsiz. Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit. Adv. Math. 285 (2015), 1225--1240.

14. J. F. van Diejen & E. Emsiz. Quantum integrals for a semi-infinite q-boson system with boundary interactions. SIGMA 11 (2015), 037, 9 pages.

13. J. F. van Diejen & E. Emsiz. Integrable boundary interactions for Ruijsenaars' difference Toda chain. Comm. Math. Phys. 337 (2015), 171--189 .

12. J. F. van Diejen & E. Emsiz. The semi-infinite q-boson system with boundary interaction. Lett. Math. Phys. 104 (2014), 103--113

11. J. F. van Diejen & E. Emsiz. Diagonalization of the infinite q-boson system. J. Funct. Anal. 266 (2014), 5801--5817

10. J. F. van Diejen & E. Emsiz. Orthogonality of Macdonald polynomials with unitary parameters. Math. Z. 276 (2014), 517--542.

9. J. F. van Diejen & E. Emsiz. Boundary interactions for the semi-infinite q-boson system and hyperoctahedral Hall-Littlewood polynomials. SIGMA 9 (2013), 077, 12 pages.

8.J. F. van Diejen & E. Emsiz. Discrete harmonic analysis on a Weyl alcove. J. Funct. Anal. 265 (2013), 1981--2038.

7. J. F. van Diejen & E. Emsiz. A discrete Fourier transform associated with the affine Hecke algebra. Adv. in Appl. Math 49 (2012), 24--38.

6. J. F. van Diejen & E. Emsiz. Unitary representations of affine Hecke algebras related to Macdonald spherical functions. J. Algebra 354 (2012), 180--210.

5. J. F. van Diejen & E. Emsiz. Pieri formulas for Macdonald's spherical functions and polynomials. Math. Z. 269 (2011), 281--292.

4. J. F. van Diejen & E. Emsiz. A generalized Macdonald operator. Int. Math. Res. Not. 2011 (2011), 3560--3574.

3. E. Emsiz. Completeness of the Bethe ansatz on Weyl alcoves. Lett. Math. Phys. 91 (2010), 61--70.

2. E. Emsiz, E. M. Opdam & J. V. Stokman. Trigonometric Cherednik algebra at critical level and quantum many-body problems. Selecta Math. 14 (2009), 571--605.

1. E. Emsiz, E. M. Opdam & J. V. Stokman. Periodic integrable systems with delta-potentials. Comm. Math. Phys. 264 (2006), 191--225.

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