Unbounded commuting operators and multivariate orthogonal polynomials
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- by Yuan Xu
- Proc. Amer. Math. Soc. 119 (1993), 1223-1231
- DOI: https://doi.org/10.1090/S0002-9939-1993-1165065-7
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Abstract:
The multivariate orthogonal polynomials are related to a family of operators whose matrix representations are block Jacobi matrices. A sufficient condition is given so that these operators, in general unbounded, are commuting and selfadjoint. The spectral theorem for these operators is used to establish the existence of the measure of orthogonality in Favard’s theorem.References
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Bibliographic Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 1223-1231
- MSC: Primary 47B25; Secondary 44A60, 47A57
- DOI: https://doi.org/10.1090/S0002-9939-1993-1165065-7
- MathSciNet review: 1165065