Abstract:
For any real numbers
$p,q\geq 1$,
we present in this paper a
$(p,q)$-generalized version
of Beurling's uncertainty principle for
$\mathbb{R}^n$,
which largely extends the
classical Beurling's theorem.
We then define its analog for compact extensions of
$\mathbb{R}^n$
and also for Heisenberg groups.
