pr.probability – Uniform convergence of random Fourier quadratic forms

Let $$xi_k$$, $$k in mathbb {Z}$$, be a sequence of independent Rademacher random variables. Is there
a characterization of those families $$a_{k,ell}$$, $$k, ell in mathbb {Z}$$, of complex numbers such that the quadratic form
$$sum_{k, ell in mathbb {Z}} a_{k, ell} , xi_k xi_ell , e^{itk} e^{isell}, quad t,s in [0, 2pi],$$
is almost surely uniformly convergent?