Square Integrable

#Math #Physics

$\displaystyle f:\mathbb{R}\rightarrow \mathbb{C} \text{ square integrable} \leftrightarrow\int_{-\infty}^{\infty} \lvert f(x)\rvert^{2} , \mathrm{d}x<\infty$

  • A function is square integrable if the integration over $\displaystyle \mathbb{R}$ of its modulo squared is finite