differentiable functions

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31: 1.14 Integral Transforms

… ►The Fourier transform of a real- or complex-valued function $f(t)$ is defined by … ►

Periodic Functions

… ►The Mellin transform of a real- or complex-valued function $f(x)$ is defined by … ►Suppose $f(t)$ is continuously differentiable on $(-\mathrm{\infty },\mathrm{\infty })$ and vanishes outside a bounded interval. … ►The Stieltjes transform of a real-valued function $f(t)$ is defined by …