RT info:eu-repo/semantics/article
T1 Zernike functions, rigged Hilbert spaces, and potential applications
A1 Celeghini, Enrico
A1 Gadella Urquiza, Manuel
A1 Olmo Martínez, Mariano Antonio del
AB 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 aswell as continuous bases that coexist in the framework of rigged Hilbert spaces. We also discuss some other interesting properties of Zernikepolynomials and Zernike functions. One of the areas of interest of Zernike functions has been their applications in optics. Here, we suggestthat operators on the spaces of Zernike functions may play a role in optical image processing.
SN 0022-2488
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/40859
UL http://uvadoc.uva.es/handle/10324/40859
LA eng
NO J. Math. Phys. 30 (2019) 083508
NO Producción Científica
DS UVaDOC
RD 17-jul-2024