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|Title:||Uncertainty principles in Hilbert spaces||Authors:||Goh, S.S.
|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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