Heisenberg uncertainty principles for the Dunkl multipier operators. (English. Russian original) Zbl 1384.42011
J. Math. Sci., New York 228, No. 6, 695-704 (2018); translation from Probl. Mat. Anal. 90, 83-89 (2018).
Summary: We prove a Heisenberg type and a Heisenberg-Pauli-Weyl type inequalities for a class of Dunkl multipier operators. The constants in the main inequalities are sharp, and the results are confirmed by examples.
MSC:
| 42B15 | Multipliers for harmonic analysis in several variables |
| 42B10 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
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