Logarithm Sobolev and Shannon's Inequalities Associated with the Deformed Fourier Transform and Applications
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DOI: 10.3390/sym14071311
Abstract: By using the symmetry of the Dunkl Laplacian operator, we prove a sharp Shannon-type inequality and a logarithmic Sobolev inequality for the Dunkl transform. Combining these inequalities, we obtain a new, short proof for Heisenberg-type… read more here.
Keywords: type; shannon; transform; logarithm sobolev ... See more keywords