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math.CA2008
Vector- valued distributions and Hardy's uncertainty principle for operators
Michael G. Cowling, Bruno Demange, Maddala Sundari
In this paper, we generalise Hardy's uncertainty principle to vector-valued functions, and hence to operators. The principle for operators can be formulated loosely by saying that…
math.CA2001
Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms
Aline Bonami, Bruno Demange, Philippe Jaming
We extend an uncertainty principle due to Beurling into a characterization of Hermite functions. More precisely, all functions on which may be written as $P(x)\exp (Ax,x…