The multiplier of the interval [−1, 1] for the Dunkl transform of arbitrary order on the real line
- Ciaurri, Ó. 1
- Roncal, L. 1
- Varona, J.L. 1
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1
Universidad de La Rioja
info
ISSN: 1065-2469
Year of publication: 2015
Volume: 26
Issue: 9
Pages: 728-736
Type: Article
More publications in: Integral Transforms and Special Functions
Abstract
We study the boundedness of the multiplier of the interval (Formula presented.) for the Dunkl transform of order (Formula presented.) on weighted (Formula presented.) spaces, with (Formula presented.). In particular, we get that it is bounded from (Formula presented.) into itself if and only if (Formula presented.) when (Formula presented.) or if and only if (Formula presented.) when (Formula presented.). © 2015 Taylor & Francis.