36 citations · 171 across the 15 of their papers we have counts for
6 papers · 1 filter
Groups, Jacobi functions and rigged Hilbert spaces
E. Celeghini, M. Gadella, M. A. del Olmo
This paper is a contribution to the study of the relations between special functions, Lie algebras and rigged Hilbert spaces. The discrete indices and continuous variables of speci…
Groups, Special Functions and Rigged Hilbert Spaces
E. Celeghini, M. Gadella, M. A. del Olmo
We show that Lie groups and their respective algebras, special functions and rigged Hilbert spaces are complementary concepts that coexist together in a common framework and that t…
Hermite functions, Lie groups and Fourier analysis
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo
In this paper, we present recent results in harmonic analysis in the real line R and in the half-line R^+, which show a closed relation between Hermite and Laguerre functions, resp…
Spherical harmonics and rigged Hilbert spaces
E. Celeghini, M. Gadella, M. A. del Olmo
This paper is devoted to study discrete and continuous bases for spaces supporting representations of SO(3) and SO(3,2) where the spherical harmonics are involved. We show how disc…
Group theoretical aspects of , and associated Laguerre polynomials
E. Celeghini, M. A. del Olmo
A ladder algebraic structure for which closes the Lie algebra , where is the Heisenberg-Weyl algebra, is presented in terms of a basis o…
Superintegrable quantum u(3)--systems and higher rank factorizations
J. A. Calzada, J. Negro, M. A. del Olmo
A class of two-dimensional superintegrable systems on a constant curvature surface is considered as the natural generalization of some well known one-dimensional factorized systems…