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The Sobolev-type moment problem
Author(s):
Francisco
Marcellán;
Franciszek
Hugon
Szafraniec
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2309-2317.
MSC (2000):
Primary 44A99;
Secondary 47B15, 47B20, 47B25
Posted:
February 25, 2000
MathSciNet review:
1694873
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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 Jagiellonski, ul. Reymonta 4, PL-30059 Kraków, Poland
Email:
fhszafra@im.uj.edu.pl
DOI:
10.1090/S0002-9939-00-05535-0
PII:
S 0002-9939(00)05535-0
Received by editor(s):
September 10, 1998
Posted:
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 of article:
Copyright
2000,
American Mathematical Society
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