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In this work, we prove Clarkson-type and Nash-type inequalities in the Dunkl setting on [Formula: see text] for [Formula: see text]-functions. By combining these inequalities, we show Heisenberg-type inequalities for… Click to show full abstract
In this work, we prove Clarkson-type and Nash-type inequalities in the Dunkl setting on [Formula: see text] for [Formula: see text]-functions. By combining these inequalities, we show Heisenberg-type inequalities for the Dunkl transform on [Formula: see text], and we deduce local-type uncertainty inequalities for the Dunkl transform on [Formula: see text].
Keywords:
uncertainty;
see text;
formula see;
type;
dunkl transform
Journal Title: Asian-european Journal of Mathematics
Year Published: 2020
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Journal Title: Asian-european Journal of Mathematics
Year Published: 2020
Link to full text (if available)
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recommendations!