RT info:eu-repo/semantics/article
T1 Spherical harmonics and rigged Hilbert spaces
A1 Celeghini, Enrico
A1 Gadella Urquiza, Manuel
A1 Olmo Martínez, Mariano Antonio del
AB 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 discrete and continuous bases coexist on appropriate choices of rigged Hilbert spaces. We prove the continuity of relevant operators and the operators in the algebras spanned by them using appropriate topologies on our spaces. Finally, we discuss the properties of the functionals that form the continuous basis
PB AIP Publishing
SN 0022-2488
YR 2018
FD 2018
LK http://uvadoc.uva.es/handle/10324/33598
UL http://uvadoc.uva.es/handle/10324/33598
LA eng
NO Journal of Mathematical Physics 59, 053502 (2018)
NO Producción Científica
DS UVaDOC
RD 26-abr-2024