3 citations · 5 across the 3 of their papers we have counts for
3 papers
math-ph2021
An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform
Mesuma Atakishiyeva, Natig Atakishiyev, Alexei Zhedanov
We show that intertwining operators for the discrete Fourier transform form a cubic algebra with a root of unity. This algebra is intimately related to the two…
math.CA2008★ 2 cited
On a q-extension of Mehta's eigenvectors of the finite Fourier transform for q a root of unity
Mesuma K. Atakishiyeva, Natig M. Atakishiyev, Tom H. Koornwinder
It is shown that the continuous q-Hermite polynomials for q a root of unity have simple transformation properties with respect to the classical Fourier transform. This result is th…
math.CA2007★ 3 cited
On factorization of -difference equation for continuous -ultraspherical polynomials
I. Area, M. K. Atakishiyeva, J. Rodal
We prove that a customary Sturm-Liouville form of second-order -difference equation for the continuous -ultraspherical polynomials of Rogers can be written in a…