Fourier transform of the orthogonal polynomials on the unit ball

Published 28 Jun 2022 in math.CA | (2206.13893v2)

Abstract: 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.

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