Revision as of 19:37, 21 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 for the Hilbert space <math display="block"> H=L^2[0,1] </math> by starting with the algebraic basic <math>f_n=x^n</math> with <math>n\in\mathbb N</math>, and applying Gram-Schm...")
BBot
Apr 21'25
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 for the Hilbert space
[[math]]
H=L^2[0,1]
[[/math]]
by starting with the algebraic basic [math]f_n=x^n[/math] with [math]n\in\mathbb N[/math], and applying Gram-Schmidt.