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Results tagged with harmonic-analysis
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user 121919
Harmonic analysis is a generalisation of Fourier analysis that studies the properties of functions. Check out this tag for abstract harmonic analysis (on abelian locally compact groups), or Euclidean harmonic analysis (eg, Littlewood-Paley theory, singular integrals). It also covers harmonic analysis on tube domains, as well as the study of eigenvalues and eigenvectors of the Laplacian on domains, manifolds and graphs.
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The integrable condition for distance function
Let $\Omega$ be an open bounded domain in $\mathbb{R}^{n}$. We denote
$d\left(x\right)$ the distance from $x$ to the boundary of $\Omega$,
that is
$$
d\left(x\right):=\inf\left\{ \left\Vert x-y\right …
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