Print Email Facebook Twitter Spherical and Cherednik-Opdam transforms of Jacobi-type polynomials Title Spherical and Cherednik-Opdam transforms of Jacobi-type polynomials Author van der Klein, Anne (TU Delft Electrical Engineering, Mathematics and Computer Science) Contributor Groenevelt, Wolter (mentor) van Neerven, Jan (graduation committee) de Oliveira Filho, Fernando (graduation committee) Degree granting institution Delft University of Technology Date 2019-06-19 Abstract The spherical transform maps the orthogonal basis of symmetric Jacobi-type polynomials to an orthogonal basis of (symmetric) Wilson polynomials. The spherical transform is closely related to the Cherednik-Opdam transform, as it is essentially its symmetric version. The symmetric Jacobi-type polynomials can be composed from the non-symmetric Jacobi-type polynomials. These relations, between the symmetric and non-symmetric theory, give an incentive to consider the Cherednik-Opdam transform of non-symmetric Jacobi-type polynomials. This work gives an overview of the symmetric theory about the spherical transform of Jacobi-type polynomials and lays down the groundwork for the Cherednik-Opdam transform of the non-symmetric Jacobi-type polynomials. Subject Spherical transformJacobi-type polynomialsCherednik-Opdam transform To reference this document use: http://resolver.tudelft.nl/uuid:25ba0e3e-6641-4f99-b6ba-29a556b3a7e9 Part of collection Student theses Document type master thesis Rights © 2019 Anne van der Klein Files PDF report.pdf 526.54 KB Close viewer /islandora/object/uuid:25ba0e3e-6641-4f99-b6ba-29a556b3a7e9/datastream/OBJ/view