engleski

Uniform constants in Hausdorff-Young inequalities for the Cantor group model of the scattering transform

Analogues of Hausdorff-Young inequalities for the Dirac scattering transform (a.k.a. SU(1, 1) nonlinear Fourier transform) were first established by Christ and Kiselev. Later Muscalu, Tao, and Thiele raised a question if the constants can be chosen uniformly in 1≤p≤2. Here we give a positive answer to that question when the Euclidean real line is replaced by its Cantor group model.

scattering transform ; Hausdorff-Young inequality ; Cantor group model

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