Work

Dini Lipschitz functions for the Dunkl transform in the Space $$\mathrm {L}^{2}(\mathbb {R}^{d},w_{k}(x)dx)$$ L 2 ( R d , w k ( x ) d x )

Year: 2015

Type: article

Abstract: Using a generalized spherical mean operator, we obtain an analog of Theorem 5.2 in Younis (J Math Sci 9(2),301–312 1986) for the Dunkl transform for functions satisfying the $$d$$ -Dunkl Dini Lipschitz condition in the space $$\mathrm {L}^{2}(\mathbb {R}^{d},w_{k}(x)dx)$$ , where $$w_{k}$$ is a weight function invariant under the action of an associated reflection group.

Source: Rendiconti del Circolo Matematico di Palermo Series 2

DOI: 10.1007/s12215-015-0195-9

Authors: Mohamed El Hamma, Radouan Daher

Institution: University of Hassan II Casablanca

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

OpenAlex ID: W1763694799