An uncertainty principle for the Dunkl transform

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An Uncertainty Principle for the Dunkl Transform

The Dunkl transform is an integral transform on R" which generalises the classical Fourier transform. On suitable function spaces, it establishes a natural correspondence between the action of multiplication operators on one hand and so-called Dunkl operators on the other. These are differential-difference operators, generalising the usual partial derivatives, which are associated with a finite...

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ژورنال

عنوان ژورنال: Bulletin of the Australian Mathematical Society

سال: 1999

ISSN: 0004-9727,1755-1633

DOI: 10.1017/s0004972700033025