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arXiv · 2206.13893

Fourier transform of the orthogonal polynomials on the unit ball

Esra Güldoğan Lekesiz·Rabia Aktaş·Iván Area
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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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Esra Güldoğan Lekesiz, Rabia Aktaş, Iván Area. 2022-06-28. Fourier transform of the orthogonal polynomials on the unit ball. https://arxiv.org/abs/2206.13893

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