RT Journal Article T1 The moment problem for a Sobolev inner product A1 Barrios, Dolores A1 López Lagomasino, Guillermo A1 Pijeira Cabrera, Héctor Esteban AB The concepts of definite and determinate Sobolev moment problem are introduced. The study of these questions is reduced to the definiteness or determinacy, respectively, of a system of classical moment problems by means of a canonical decomposition of the moment matrix associated with a Sobolev inner product in terms of Hankel matrices. PB Elsevier SN 0021-9045 YR 1999 FD 1999-10 LK https://hdl.handle.net/10016/6365 UL https://hdl.handle.net/10016/6365 LA eng NO 17 pages, no figures.-- MSC2000 code: 44A60. NO MR#: MR1715024 (2000m:44013) NO Zbl#: Zbl 0980.44008 NO Research by second author (G.L.L.) was partially supported by Dirección General de Enseñanza Superior under Grant PB 96-0120-C03-01 and by INTAS under Grant 93-0219 EXT. Research by the third author (H.P.) was carried out while following a Doctoral Program at Universidad Carlos III de Madrid under a grant from Agencia Española de Cooperación Internacional. DS e-Archivo RD 4 may. 2024