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- Dunkl_operator abstract "In mathematics, particularly the study of Lie groups, a Dunkl operator is a certain kind of mathematical operator, involving differential operators but also reflections in an underlying space.Formally, let G be a Coxeter group with reduced root system R and kv a multiplicity function on R (so ku = kv whenever the reflections σu and σv corresponding to the roots u and v are conjugate in G). Then, the Dunkl operator is defined by:where is the i-th component of v, 1 ≤ i ≤ N, x in RN, and f a smooth function on RN.Dunkl operators were introduced by Dunkl (1989). One of Dunkl's major results was that Dunkl operators "commute," that is, they satisfy just as partial derivatives do. Thus Dunkl operators represent a meaningful generalization of partial derivatives.".
- Dunkl_operator wikiPageID "947234".
- Dunkl_operator wikiPageRevisionID "576536652".
- Dunkl_operator hasPhotoCollection Dunkl_operator.
- Dunkl_operator subject Category:Lie_groups.
- Dunkl_operator type Abstraction100002137.
- Dunkl_operator type Group100031264.
- Dunkl_operator type LieGroups.
- Dunkl_operator comment "In mathematics, particularly the study of Lie groups, a Dunkl operator is a certain kind of mathematical operator, involving differential operators but also reflections in an underlying space.Formally, let G be a Coxeter group with reduced root system R and kv a multiplicity function on R (so ku = kv whenever the reflections σu and σv corresponding to the roots u and v are conjugate in G).".
- Dunkl_operator label "Dunkl operator".
- Dunkl_operator sameAs m.03sdf4.
- Dunkl_operator sameAs Q5315392.
- Dunkl_operator sameAs Q5315392.
- Dunkl_operator sameAs Dunkl_operator.
- Dunkl_operator wasDerivedFrom Dunkl_operator?oldid=576536652.
- Dunkl_operator isPrimaryTopicOf Dunkl_operator.