Revision as of 00:39, 22 April 2025 by Bot (Created page with "<div class="d-none"><math> \newcommand{\mathds}{\mathbb}</math></div> {{Alert-warning|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 display="block"> 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<...")
BBot
Apr 22'25
Exercise
[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].