Multivariate orthogonal polynomials and operator theory
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- by Yuan Xu PDF
- Trans. Amer. Math. Soc. 343 (1994), 193-202 Request permission
Abstract:
The multivariate orthogonal polynomials are related to a family of commuting selfadjoint operators. The spectral theorem for these operators is used to prove that a polynomial sequence satisfying a vector-matrix form of the three-term relation is orthonormal with a determinate measure.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 343 (1994), 193-202
- MSC: Primary 42C05; Secondary 47A57, 47B15
- DOI: https://doi.org/10.1090/S0002-9947-1994-1169912-X
- MathSciNet review: 1169912