2 papers
math.CA2024
Fourier transforms of orthogonal polynomials on the cone
Rabia Aktaş Karaman, Iván Area
The purpose of this paper is to obtain Fourier transforms of multivariate orthogonal polynomials on the cone such as Laguerre polynomials on the cone and Jacobi polynomials on the…
math.CA2022
Fourier transform of the orthogonal polynomials on the unit ball
Esra Güldoğan Lekesiz, Rabia Aktaş, Iván Area
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 introduc…