Name
Title | ||
|---|---|---|
Characterization of Product Probability Measures on ℝd in Terms of Their Orthogonal Polynomials. |
Abstract | ||
|---|---|---|
In paper [1] the d-dimensional analogue of the Jacobi parameters has been individuated in a pair of sequences ((a.|n0),(Ω∼n)), where (a.|n0) is a sequence of Hermitean matrices and Ω∼n(n ∈ ℕ) a positive definite kernel with values in the linear operators on the n-th space of the orthogonal gradation. In this paper we prove that product measures on ℝd are characterized by the property that the (a.|n0) are diagonal and the (Ω∼n) quasidiagonal (see Definition 2 below) in the orthogonal polynomial basis. |
Year | Venue | Field |
|---|---|---|
2016 | Open Syst. Inform. Dynam. | Diagonal,Discrete mathematics,Orthogonal polynomials,Mathematical analysis,Matrix (mathematics),Probability measure,Jacobi polynomials,Operator (computer programming),Gradation,Positive-definite kernel,Mathematics |
DocType | Volume | Issue |
Journal | 23 | 4 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Luigi Accardi | 1 | 11 | 6.36 |
| Abdallah Dhahri | 2 | 0 | 0.34 |
| Ameur Dhahri | 3 | 0 | 1.01 |