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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.
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
ISSN: 10695869
DOI: 10.1007/s00041-002-0017-2
Appears in Collections:Staff Publications

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