Hardy's uncertainty principle and the Wigner transform
2009-09-11 14:30 2009-09-11 15:30 2009-09-11 14:30 .. 15:30
by Maurice de Gosson (Faculty of Mathematics, University of Vienna, Austria)
We begin by recalling Hardy's uncertainty principle for a function and its Fourier transform. We thereafter show that this uncertainty principle is actually equivalent to a statement on Wigner's distribution. This opens the way to a non-trivial phase space uncertainty principle.