[math] \newcommand{\mathds}{\mathbb}[/math]

This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion.

Find an explicit orthonormal basis of the separable Hilbert space

[[math]] H=L^2[0,1] [[/math]]

by applying the Gram-Schmidt procedure to the polynomials [math]f_n=x^n[/math], with [math]n\in\mathbb N[/math].