Zernike functions, rigged Hilbert spaces, and potential applications

Título

dc.contributor.author	Celeghini, Enrico
dc.contributor.author	Gadella Urquiza, Manuel
dc.contributor.author	Olmo Martínez, Mariano Antonio del
dc.date.accessioned	2020-05-16T10:58:43Z
dc.date.available	2020-05-16T10:58:43Z
dc.date.issued	2019
dc.identifier.citation	J. Math. Phys. 30 (2019) 083508	es
dc.identifier.issn	0022-2488	es
dc.identifier.uri	http://uvadoc.uva.es/handle/10324/40859
dc.description	Producción Científica	es
dc.description.abstract	We revise the symmetries of the Zernike polynomials that determine the Lie algebra su(1, 1) ⊕ su(1, 1). We show how they induce discrete as well as continuous bases that coexist in the framework of rigged Hilbert spaces. We also discuss some other interesting properties of Zernike polynomials and Zernike functions. One of the areas of interest of Zernike functions has been their applications in optics. Here, we suggest that operators on the spaces of Zernike functions may play a role in optical image processing.	es
dc.format.mimetype	application/pdf	es
dc.language.iso	eng	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.title	Zernike functions, rigged Hilbert spaces, and potential applications	es
dc.type	info:eu-repo/semantics/article	es
dc.identifier.doi	10.1063/1.5093488	es
dc.identifier.publicationfirstpage	083508	es
dc.identifier.publicationissue	8	es
dc.identifier.publicationtitle	Journal of Mathematical Physics	es
dc.identifier.publicationvolume	60	es
dc.peerreviewed	SI	es
dc.identifier.essn	1089-7658	es
dc.type.hasVersion	info:eu-repo/semantics/draft	es