Explicit approximation of the symmetric rearrangement by polarizations
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We give an explicit sequence of polarizations such that for every measurable function, the sequence of iterated polarizations converge to the symmetric rearrangement of the initial function.
KeywordsSymmetric rearrangement Schwarz symmetrization Polarization Two-point rearrangement Pólya–Szegő inequality Approximation of symmetrization Steiner symmetrization Foliated Schwarz symmetrization Spherical cap rearrangement Discrete rearrangement
Mathematics Subject Classification (2000)Primary 26D15 Secondary 35A25
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