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Computing with Differential-difference Operators

✍ Scribed by Charles F. Dunkl

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
268 KB
Volume
28
Category
Article
ISSN
0747-7171

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✦ Synopsis

Computer algebra can be used to prove identities in the algebra of operators on polynomials which is generated by multiplication by coordinate functions, and the group translations and Dunkl operators associated with a reflection group. This technique is illustrated by a conceptual proof of a complete orthogonal decomposition of the harmonic polynomials associated with the abelian reflection groups.

πŸ“œ SIMILAR VOLUMES

Differential Banach *-Algebras of Compac
Differential Banach *-Algebras of Compact Operators Associated with Symmetric Operators
✍ Edward Kissin; Victor S Shulman πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 455 KB

Extensive development of noncommutative geometry requires elaboration of the theory of differential Banach \*-algebras, that is, dense \*-subalgebras of C\*-algebras whose properties are analogous to the properties of algebras of differentiable functions. We consider a specific class of such algebra