Orthonormal sets with non-negative Dirichlet kernels
Orthonormal sets with non-negative Dirichlet kernels
are much more accessible than otherwise. In particular, if S= [0, 1] and fo(s) -1, it is immediate that Ln(s) 1 for all n. This is exactly the situation one finds in the case of the classical Haar functions (see [1] or [3]). The uniform boundedness of the functions Ln(s) …