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.
CITATION STYLE
Kisil, V. V. (2015). Uncertainty and analyticity. In Trends in Mathematics (Vol. 2, pp. 583–590). Springer International Publishing. https://doi.org/10.1007/978-3-319-12577-0_64
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