Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators

By Khalifa Trimeche. 2002

250 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computer Vision and Pattern Recognition, Signal Processing

View Paper: https://www.semanticscholar.org/paper/1ee2c422d79a23ee43a18ed1f3f9540414dd9a59

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. S. Tikhonov
2. Dmitry V. Gorbachev
3. V. Ivanov
4. Hatem Mejjaoli
5. Yuan Xu
6. S. Thangavelu
7. Khalifa Trimeche
8. Feng Dai

In Computer Vision and Pattern Recognition

1. Hatem Mejjaoli
2. Yuan Xu
3. S. Thangavelu

In Signal Processing

1. Hatem Mejjaoli
2. Yuan Xu
3. S. Thangavelu

Citations in the corpus

• Positive $$L^p$$Lp-Bounded Dunkl-Type Generalized Translation Operator and Its Applications (2017, background): “Trimèche [53] extended the operator τ y on C(R).”
• Convolution operator and maximal function for the Dunkl transform (2004, background): “The generalized translation operator has been studied in [13, 15, 19].”
• Spectrum of Functions for the Dunkl Transform on R^d (2007, background): “So g ∗D ψ = 0 for all ψ in D(IRd), which implies that g = 0 (see [12],[16],[17] for the properties of the Dunkl convolution).”