generalization of titchmarsh's theorem for the dunkl transform
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abstract
using a generalized spherical mean operator, we obtain a generalization of titchmarsh's theorem for the dunkl transform for functions satisfying the ('; p)-dunkl lipschitz condition in the space lp(rd;wl(x)dx), 1 < p 6 2, where wl is a weight function invariant under the action of an associated re ection group.
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Journal title:
international journal of mathematical modelling and computationsجلد ۶، شماره ۴ (Fall)، صفحات ۲۶۱-۲۶۷
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