Abstract
We study the spherical mean \(L^2\)-multiplier operators, and for these operators we establish the Heisenberg–Pauli–Weyl uncertainty principle and Donoho–Stark’s uncertainty principle.
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Hleili, K. Uncertainty principles for spherical mean \(L^2\)-multiplier operators. J. Pseudo-Differ. Oper. Appl. 9, 573–587 (2018). https://doi.org/10.1007/s11868-017-0197-9
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DOI: https://doi.org/10.1007/s11868-017-0197-9
Keywords
- Spherical mean operator
- \(L^2\)-multiplier operators
- Heisenberg–Pauli–Weyl uncertainty principle
- Concentration uncertainty principle