Work

Fourier transform of the orthogonal polynomials on the unit ball

Year: 2022

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2206.13893

Authors: Lekesiz, Esra Güldoğan, Aktaş, Rabia, Area, Iván

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, Agencia Estatal de Investigación

Awards: G1193235492, G4334257239, G5340645127, Simplekste Çok Değişkenli Sobolev Ortogonal Polinomlar Ve Özellikleri, G8552457915

OpenAlex ID: W4296405883

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