Abstract
Consider an integrable function f on the torus Tm, with Fourier coefficients f˜(n), n∈Zm. For functions with support in a neighbourhood of the origin, we describe the support by means of lp-growth properties of difference operators acting on the Fourier coefficients f˜(n). We then generalize the result to compact Lie groups, using a certain Weyl group invariant difference operator. We also consider l2-Bernstein inequalities for the difference operators.
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