Qualitative uncertainty principles for the hypergeometric Fourier transform

摘要

We prove an L (p) version of the Donoho-Stark's uncertainty principle for the hypergeometric Fourier transform on . Next, using the ultracontractive properties of the semigroups generated by the Heckman-Opdam Laplacian operator, we obtain an L (p) Heisenberg-Pauli-Weyl uncertainty principle for the hypergeometric Fourier transform on .