Abstract
As was proved by Akhiezer and Krein, the partial trigonometric moment problem on an interval has solutions if and only if two Toeplitz matrices built from the data are nonnegative. In this work, set in the matrix case, we exhibit relationships between the orthogonal polynomials associated to these matrices. This allows us to solve the matrix version of the partial trigonometric moment problem on an interval in the nondegenerate case.
| Original language | English |
|---|---|
| Pages (from-to) | 141-161 |
| Number of pages | 21 |
| Journal | Linear Algebra and Its Applications |
| Volume | 225 |
| Issue number | C |
| DOIs | |
| State | Published - 1 Jan 1995 |
| Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics