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Heisenberg's uncertainty principle in the sense of Beurling
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-4971-7147
2012 (English)In: Journal d'Analyse Mathematique, ISSN 0021-7670, E-ISSN 1565-8538, Vol. 118, no 2, 691-702 p.Article in journal (Refereed) Published
Abstract [en]

We shed new light on Heisenberg's uncertainty principle in the sense of Beurling, by offering a fundamentally different proof which allows us to weaken the assumptions rather substantially. The new formulation is pretty much optimal, as can be seen from examples. Our arguments involve Fourier and Mellin transforms. We also introduce a version which applies to two given functions. Finally, we show how our approach applies in the higher dimensional setting.

Place, publisher, year, edition, pages
2012. Vol. 118, no 2, 691-702 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-114040DOI: 10.1007/s11854-012-0048-9ISI: 000317967800008Scopus ID: 2-s2.0-84870717516OAI: oai:DiVA.org:kth-114040DiVA: diva2:588178
Funder
Swedish Research Council
Note

QC 20130115

Available from: 2013-01-15 Created: 2013-01-15 Last updated: 2017-12-06Bibliographically approved

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Hedenmalm, Håkan

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