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https://doi.org/10.1007/s00041-002-0017-2
| Title: | Uncertainty principles in Hilbert spaces | Authors: | Goh, S.S. Micchelli, C.A. |
Keywords: | Commutator Hilbert space Uncertainty inequalities |
Issue Date: | 2002 | Citation: | Goh, S.S.,Micchelli, C.A. (2002). Uncertainty principles in Hilbert spaces. Journal of Fourier Analysis and Applications 8 (4) : 335-373. ScholarBank@NUS Repository. https://doi.org/10.1007/s00041-002-0017-2 | Abstract: | In this article we provide several generalizations of inequalities bounding the commutator of two linear operators acting on a Hilbert space which relate to the Heisenberg uncertainty principle and time/frequency analysis of periodic functions. We develop conditions that ensure these inequalities are sharp and apply our results to concrete examples of importance in the literature. | Source Title: | Journal of Fourier Analysis and Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/104418 | ISSN: | 10695869 | DOI: | 10.1007/s00041-002-0017-2 |
| Appears in Collections: | Staff Publications |
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