The Sobolev-type moment problem
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- by Francisco Marcellán and Franciszek Hugon Szafraniec PDF
- Proc. Amer. Math. Soc. 128 (2000), 2309-2317 Request permission
Abstract:
We propose necessary and sufficient conditions for a bisequence of complex numbers to be a moment one of Sobolev type over the real line, the unit circle and the complex plane. We achieve this through converting the moment problem in question into a matrix one and utilizing some techniques coming from operator theory. This allows us to consider the Sobolev type moment problem in its full generality, not necessarily in the diagonal case and even of infinite order.References
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Additional Information
- Francisco Marcellán
- Affiliation: Departamento de Matemáticas, Universidad Carlos III de Madrid, c/Butarque, 15, E-28911 Leganés, Spain
- Email: pacomarc@ing.uc3m.es
- Franciszek Hugon Szafraniec
- Affiliation: Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30059 Kraków, Poland
- Email: fhszafra@im.uj.edu.pl
- Received by editor(s): September 10, 1998
- Published electronically: February 25, 2000
- Additional Notes: This research carried out within the framework of scientific and technical cooperation between Spain and Poland was supported by the Ministry of Foreign Affairs of Spain and the Committee of Scientific Research (KBN) of Poland, grand 07/R98.
The work of Francisco Marcellán was also partially supported by Dirección General de Enseñanza Superior (DGES) of Spain, grant PB96-0120C03-01 and INTAS project INTAS-93-219Ext. - Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2309-2317
- MSC (2000): Primary 44A99; Secondary 47B15, 47B20, 47B25
- DOI: https://doi.org/10.1090/S0002-9939-00-05535-0
- MathSciNet review: 1694873