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            <title xml:lang="en">Support properties of the intertwining and the mean value operators in Dunkl's analysis</title>
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                <term xml:lang="en">Dunkl harmonic functions</term>
                <term xml:lang="en">Rösler 's measure</term>
                <term xml:lang="en">Dunkl-Laplacian operator</term>
                <term xml:lang="en">Dunkl's intertwining operator</term>
                <term xml:lang="en">Generalized volume mean  value operator and harmonic kernel</term>
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              <p>In this paper we show that the Dunkl intertwining operator has a compact support which is invariant by the associated Coxeter-Weyl group. This property enables us to determine explicitely the support of the volume mean value operator, a fundamental tool for the study of harmonic functions relative to the Dunkl-Laplacian operator. </p>
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