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Uncertainty and Analyticity

Published 16 Dec 2013 in math-ph, math.MP, and quant-ph | (1312.4583v2)

Abstract: We describe a connection between minimal uncertainty states and holomorphy-type conditions on the images of the respective wavelet transform. The most familiar example is the Fock-Segal-Bargmann transform generated by the Gaussian, however, this also occurs under more general assumptions.

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