Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Unbounded commuting operators and multivariate orthogonal polynomials


Author: Yuan Xu
Journal: Proc. Amer. Math. Soc. 119 (1993), 1223-1231
MSC: Primary 47B25; Secondary 44A60, 47A57
MathSciNet review: 1165065
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47B25, 44A60, 47A57

Retrieve articles in all journals with MSC: 47B25, 44A60, 47A57


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1165065-7
PII: S 0002-9939(1993)1165065-7
Keywords: Multivariate orthogonal polynomials, recurrence relation, commuting selfadjoint operators, determinate measure
Article copyright: © Copyright 1993 American Mathematical Society