Fourier transform of the orthogonal polynomials on the unit ball
Esra Güldoğan Lekesız, Rabıa Aktaş, Iván Area · arXiv (Cornell University) · 2022
Fourier transform of multivariate orthogonal polynomials on the unit ball are obtained. By using Parseval's identity, a new family of multivariate orthogonal functions are introduced. The results are expressed in terms of the continuous Hahn polynomials.