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Title: Spherical harmonics and rigged Hilbert spaces
Authors: Celeghini, E.
Gadella, M.
Olmo, Mariano A. del
Issue Date: 2018
Publisher: AIP Publishing
Description: Producción Científica
Citation: Journal of Mathematical Physics 59, 053502 (2018)
Abstract: 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
ISSN: 0022-2488
Peer Review: SI
Sponsor: Ministerio de Economía, Industria y Competitividad (Project MTM2014-57129-C2-1-P with EU-FEDER support)
Junta de Castilla y León (programa de apoyo a proyectos de investigación - Ref. VA057U16)
Publisher Version:
Language: eng
Rights: info:eu-repo/semantics/openAccess
Appears in Collections:FM - Artículos de revista

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