[其他] Is a square integrable function bounded?
如果有一個square-integrable fiunction
\int_\infty^\infty |f(x)|^2 dx < \infty
那f(x)是bounded嗎?
若f(x)在L_2 space
sqrt( \int_0^\infty |f(x)|^2 dx ) < \infty
那f(x)是bounded嗎?
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06/23 22:18, , 1F
06/23 22:18, 1F