Asymptotical behavior of one class of $p$-adic singular Fourier integrals

A. Yu. Khrennikov, V. M. Shelkovich

We study the asymptotical behavior of the $p$-adic singular Fourier integrals $$ J_{π_α,m;ϕ}(t) =\bigl< f_{π_α;m}(x)χ_p(xt), ϕ(x)\bigr> =F\big[f_{π_α;m}ϕ\big](t), \quad |t|_p \to \…