Harmonic analysis on Euclidean spaces
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Rudin problem for polynomials (AlphaEvolve problem 57). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Uncertainty principle (AlphaEvolve problem 11). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
An autocorrelation problem related to difference bases (AlphaEvolve problem 6). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
An autocorrelation problem with functions that can take negative values (AlphaEvolve problem 4). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
How much can an autocorrelation of a non-negative function resemble an indicator function? (AlphaEvolve problem 3). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
An autocorrelation problem related to Sidon sets (AlphaEvolve problem 2). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
3D critical Bochner–Riesz exponent: determine C 77 or improve its bounds; the repository records 3 (lower) and frac 13 4 (upper).
Beurling–Ahlfors transform constant: determine C 54 or improve its bounds; the repository records 1 (lower) and 1.575 (upper).
Centered Hardy-Littlewood maximal constant in dimension 2 : determine C 47 or improve its bounds; the repository records 1.68550999 (lower) and 3.879 (upper).
Fourier restriction constant for the 2-sphere: determine C 46 or improve its bounds; the repository records 3 (lower) and frac 22 7 approx 3.142857 (upper).
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Mathematical Sciences Publishers
Analysis and partial differential equations
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