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arxiv: 1312.4583 · v2 · pith:VWDYTYV6new · submitted 2013-12-16 · 🧮 math-ph · math.MP· quant-ph

Uncertainty and Analyticity

classification 🧮 math-ph math.MPquant-ph
keywords transformuncertaintyanalyticityassumptionsconditionsconnectiondescribeexample
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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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