1 BEURLING’S THEOREM AND L p − L q MORGAN’S THEOREM FOR STEP TWO NILPOTENT LIE GROUPS
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چکیده
We prove Beurling's theorem and L p − L q Morgan's theorem for step two nilpotent Lie groups. These two theorems together imply a group of uncertainty theorems.
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1 BEURLING’S THEOREM AND L p − L q MORGAN’S THEOREM FOR STEP TWO NILPOTENT LIE GROUPS
A. We prove Beurling's theorem and L p − L q Morgan's theorem for step two nilpotent Lie groups. These two theorems together imply a group of uncertainty theorems. 1. I Roughly speaking the Uncertainty Principle says that " A nonzero function f and its Fourier transform f cannot be sharply localized simultaneously ". There are several ways of measuring localization of a functi...
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