Dunkl operators and Fischer decompositions
dc.rights.license | CC-BY-NC-ND | |
dc.contributor.advisor | Ban, E.P. van den | |
dc.contributor.author | Plomp, F. | |
dc.date.accessioned | 2013-09-20T17:01:27Z | |
dc.date.available | 2013-09-20 | |
dc.date.available | 2013-09-20T17:01:27Z | |
dc.date.issued | 2013 | |
dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/14959 | |
dc.description.abstract | In this thesis we will study the theory of Dunkl operators and Dunkl harmonic polynomials and have a look at some of the applications. We will also establish the existence of a certain class of Fischer decompositions of graded vector spaces. The decomposition of L^2(S,h^2d\omega) into Dunkl harmonics follows from a Fischer decomposition which belongs to this class. The similarities between Dunkl operators and partial derivatives can be expressed through a certain intertwining operator. The existence of this type of intertwining operator is explained from a general point of view. | |
dc.description.sponsorship | Utrecht University | |
dc.format.extent | 805052 bytes | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dc.title | Dunkl operators and Fischer decompositions | |
dc.type.content | Master Thesis | |
dc.rights.accessrights | Open Access | |
dc.subject.courseuu | Mathematical Sciences |