Integrated orthonormal series
Integrated orthonormal series
m=i ra=l I Jα where 0<a^2,a^t^b, and {^m} is a sequence in U[ay 6], usually orthonormal. In this paper, Fa(t) is studied for the Haar, Walsh, trigonometric, and general orthonormal sequences. For instance, it is proved that for the Haar system Fa(jt) satisfies a Lipschitz condition of order a/2 in …