Variants of Miyachi's theorem for Nilpotent Lie groups

Ali Baklouti, Sundaram Thangavelu

Abstract


We formulate and prove two versions of Miyachi’s theorem for connected, simply connected nilpotent Lie groups. This allows us to prove the sharpness of the constant 1/4 in the theorems of Hardy and of Cowling and Price for any nilpotent Lie group. These theorems are proved using a variant of Miyachi’s theorem for the group Fourier transform.

doi:10.1017/S144678870900038X

Keywords


Uncertainty principles, Plancherel formula, nilpotent Lie groups



If you have difficultly logging in, then clear your browser cache, restart your browser, and try again. In October we upgraded this online system and hence some of your old cookies need to be renewed.

Remember for most actions you have to record/upload into OJS and then inform the editor/author via clicking on an email icon or Completion button.
Journal of the Austral. Maths Soc, copyright Australian Mathematical Society.