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- Title
Moment problems in an infinite number of variables.
- Authors
Alpay, Daniel; Jorgensen, Palle E. T.; Kimsey, David P.
- Abstract
Let . Given a closed set and , where denotes the set of tuples of nonnegative integers with for finitely many , the -moment problem on entails determining whether or not there exists a measure on so that and We prove that exists if and only if a natural analogue of the Riesz-Haviland functional is -positive, i.e. if is any polynomial which is nonnegative for all , then We will also provide a sufficient condition for to be unique, an analogue of a celebrated theorem of K. Schmüdgen and an application to stochastic processes.
- Subjects
MOMENT problems (Mathematics); INFINITY (Mathematics); NUMBER theory; MATHEMATICAL variables; EXISTENCE theorems
- Publication
Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2015, Vol 18, Issue 4, p1
- ISSN
0219-0257
- Publication type
Article
- DOI
10.1142/S0219025715500241