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Kisil, VV orcid.org/0000-0002-6593-6147 (2015) Uncertainty and analyticity. In: Mityushev, VV and Ruzhansky, MV, (eds.) Current Trends in Analysis and Its Applications: Proceedings of the 9th ISAAC Congress, Kraków 2013. Trends in Mathematics . Birkhäuser , Basel, Switzerland , pp. 583-590. ISBN 978-3-319-12576-3
Abstract
We describe a connection between minimal uncertainty states and holomorphy-type conditions on the images of the respective wavelet transforms. The most familiar example is the Fock–Segal–Bargmann transform generated by the Gaussian, however, this also occurs under more general assumptions.
Metadata
Item Type: | Book Section |
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Authors/Creators: |
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Editors: |
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Keywords: | Quantum mechanics; Classical mechanics; Heisenberg commutation relations; Observables; Heisenberg group; Fock–Segal–Bargmann space; SU(1,1); Hardy space |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 06 Apr 2017 15:49 |
Last Modified: | 06 Apr 2017 15:53 |
Published Version: | https://doi.org/10.1007/978-3-319-12577-0_64 |
Status: | Published |
Publisher: | Birkhäuser |
Series Name: | Trends in Mathematics |
Identification Number: | 10.1007/978-3-319-12577-0_64 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:111550 |
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Uncertainty and analyticity. (deposited 20 Jan 2015 13:33)
- Uncertainty and analyticity. (deposited 06 Apr 2017 15:49) [Currently Displayed]