square-integrable

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1: 28.30 Expansions in Series of Eigenfunctions

… ►Then every continuous $2\pi$-periodic function $f(x)$ whose second derivative is square-integrable over the interval $[0,2\pi ]$ can be expanded in a uniformly and absolutely convergent series …

2: 1.4 Calculus of One Variable

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Square-Integrable Functions

►A function $f(x)$ is square-integrable if …

3: 1.8 Fourier Series

… ►when $f(x)$ and $g(x)$ are square-integrable and $a_n,b_n$ and $a_n^{\prime },b_n^{\prime }$ are their respective Fourier coefficients. …

4: 30.4 Functions of the First Kind

… ►If $f(x)$ is mean-square integrable on $[-1,1]$, then formally …

5: 33.22 Particle Scattering and Atomic and Molecular Spectra

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Eigenstates using complex-rotated coordinates $r\to r{\mathrm{e}}^{\mathrm{i}\theta }$, so that resonances have square-integrable eigenfunctions. See for example Halley et al. (1993).

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