RT Journal Article T1 On semiclassical linear functionals: the symmetric companion A1 Arvesú Carballo, Jorge A1 Atia, Mohamed Jalel A1 Marcellán Español, Francisco José AB In this paper we analyze the symmetric companion of a quasi-definite linear functional. We focus our attention on semiclassical linear functionals and we analyze the class of symmetric companions in terms of the initial linear functional. We present some examples for classes zero and one. Finally, we consider symmetric linear functionals perturbed additively by Dirac masses. PB Mesa State College YR 2002 FD 2002-01-18 LK https://hdl.handle.net/10016/6524 UL https://hdl.handle.net/10016/6524 LA eng NO 17 pages, no figures.-- MSC2000 codes: Primary: 42C05; Secondary: 30C10. NO MR#: MR1931342 (2003h:42037) NO The work of J. Arvesú and F. Marcellán was partially supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant BFM2000-0206-C04-01 and INTAS Project 2000-272. In addition, J. Avesú thanks Dirección General de Investigación (Comunidad Autónoma de Madrid) for its financial support. DS e-Archivo RD 20 may. 2024