Variations on a theorem of Beurling

Rahul Garg, Sundaram Thangavelu

We consider functions satisfying the subcritical Beurling's condition, viz., $${\int }_{{\mathbb{R}}^n}{\int }_{{\mathbb{R}}^n}|f(x)||\hat{f}(y)|e^{a|x\cdot y|}dxdy<\infty$$ for some $ 0 < a…