Abstract | ||
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We consider orderings of nested subspaces of the space of Laurent polynomials on the real line, more general than the balanced orderings associated with the ordered bases {1,z^-^1,z,z^-^2,z^2,...} and {1,z,z^-^1,z^2,z^-^2,...}. We show that with such orderings the sequence of orthonormal Laurent polynomials determined by a positive linear functional satisfies a three-term recurrence relation. Reciprocally, we show that with such orderings a sequence of Laurent polynomials which satisfies a recurrence relation of this form is orthonormal with respect to a certain positive functional. |
Year | DOI | Venue |
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2010 | 10.1016/j.cam.2010.07.013 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
orthonormal laurent,positive linear functional satisfies,laurent polynomial sequence,three-term recurrence relation,real line,nested subspaces,balanced ordering,recurrence relation,laurent polynomial,satisfiability | Positive linear functional,Polynomial,Mathematical analysis,Recurrence relation,Real line,Linear subspace,Laurent series,Orthonormal basis,Laurent polynomial,Mathematics | Journal |
Volume | Issue | ISSN |
235 | 4 | 0377-0427 |
Citations | PageRank | References |
4 | 0.53 | 1 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
C. Díaz-Mendoza | 1 | 20 | 4.56 |
P. González-Vera | 2 | 46 | 9.45 |
M. Jiménez Paiz | 3 | 18 | 3.14 |
O. Njåstad | 4 | 10 | 1.96 |