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Session 18. Harmonic analysis, orthogonal expansions and Dunkl theory
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Uncertainty principles in root systems |
Troels Johansen, Universität Kiel, Germany
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We describe uncertainty principles in radially deformed Dunkl analysis and
Heckman-Opdam theory. Donoho-Stark and local/global uncertainty principles are
obtained
by an adaptation of techniques due to Ghobber and Jaming for integral
transforms. Inequalities for Shannon entropy with applications to
information-theoretical inequalities are obtained as well.
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