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.
On leave from Odessa University.
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Kisil, V.V. (2015). Uncertainty and Analyticity. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_64
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DOI: https://doi.org/10.1007/978-3-319-12577-0_64
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-12576-3
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