On the new family of wavelets interpolating to the Shannon wavelet (Q2843173)

It is well-known that the \(B\)-spline functions \(M_n\) converge to the Gauss function. Since those functions are not orthogonal to their integer translates, K. H. Oh and others proved that Battle-Lemarié's father wavelets (orthogonalization of \(B\)-spline functions) converge to Shannon function, as \(n\) goes to infinity. The paper under review defines a new family of orthonormal wavelets with parameter \(n\), and shows that they converge to the Shannon's function in the \(L^p(\mathbb R)\) sense.