Computing with differential-difference operators (Q1971740)
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scientific article; zbMATH DE number 1423192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computing with differential-difference operators |
scientific article; zbMATH DE number 1423192 |
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Computing with differential-difference operators (English)
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10 October 2000
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The paper shows how Maple can be used to prove identities in the algebra generated be differential-difference operators (Dunkl operators), multiplication by coordinate functions and group translation, essentially in polynomial arithmetic. The proposed technique allows a conceptual proof of a complete orthogonal decomposition of the harmonic polynomials associated with a special case (the abelian reflection groups).
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differential-difference operators
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abelian reflection groups
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harmonic polynomials
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maple
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Dunkl operators
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polynomial arithmetic
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