Abstract
The product Bk(λ,x)Bk(λ,y) of two Dunkl type kernels is expressed as an integral in terms of Bk(λ,z) with explicit non-positive kernel. As a consequence, a non-positivity preserving convolution structure is established.
Original language | English |
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Pages (from-to) | 1132-1146 |
Number of pages | 15 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 463 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jul 15 2018 |
Externally published | Yes |
Keywords
- Convolution structure
- Generalized Fourier transform
- Product formula
- Translation operators
ASJC Scopus subject areas
- Analysis
- Applied Mathematics