Heisenberg’s uncertainty principle in the sense of Beurling

  title={Heisenberg’s uncertainty principle in the sense of Beurling},
  author={H. Hedenmalm},
  journal={Journal d'Analyse Math{\'e}matique},
  • H. Hedenmalm
  • Published 2012
  • Mathematics, Physics
  • Journal d'Analyse Mathématique
  • We shed new light on Heisenberg’s uncertainty principle in the sense of Beurling, by offering a fundamentally different proof which allows us to weaken the assumptions rather substantially. The new formulation is pretty much optimal, as can be seen from examples. Our arguments involve Fourier and Mellin transforms. We also introduce a version which applies to two given functions. Finally, we show how our approach applies in the higher dimensional setting. 
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