Square Integrable
#Math #Physics
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$\displaystyle f:\mathbb{R}\rightarrow \mathbb{C} \text{ square integrable} \leftrightarrow\int_{-\infty}^{\infty} \lvert f(x)\rvert^{2} , \mathrm{d}x<\infty$
- A function is square integrable if the integration over $\displaystyle \mathbb{R}$ of its modulo squared is finite