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Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.
5
votes
2
answers
390
views
Orthogonalize polynomials with respect to Gagliardo seminorm?
For a function $f\colon [-1,1]\to\mathbb{R}$, the Gagliardo seminorm of $f$ is defined to be
$$
|f| = \int_{-1}^1\int_{-1}^1 \frac{(f(x)-f(y))^2}{(x-y)^2}\, \mathrm{d}x\, \mathrm{d} y.
$$
Given $(x, …
2
votes
0
answers
74
views
How do I let Fourier Transform know that it is a linear operator? [duplicate]
I have the following issue with FourierTransform, Fourier transform doesn't seem to know it is a linear operator.
ClearAll["Global`*"]
aa = FourierTransform[s1[t],t,omega];
bb = FourierTransform[s1'[ …