OpenAI reports an L3 bound for the trilinear Hilbert transform
- Mathematics
The trilinear Hilbert transform with fixed slopes 1, 2, and 3 maps three complex L3(R) inputs to L1(R) with a uniform norm bound.
OpenAI reports an L3 bound for the trilinear Hilbert transform
- Mathematics
The trilinear Hilbert transform with fixed slopes 1, 2, and 3 maps three complex L3(R) inputs to L1(R) with a uniform norm bound.
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Understand the problem ↓Understanding the problem
Read the background
The trilinear Hilbert transform with fixed slopes 1, 2, and 3 maps three complex L3(R) inputs to L1(R) with a uniform norm bound.
Why it matters
If correct, resolves the three-L3 fixed-slope case of the trilinear Hilbert-transform conjecture.
What counts as progress
Is the fixed-slope trilinear Hilbert transform bounded from three L3 inputs to L1?
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OpenAI reports an L3 bound for the trilinear Hilbert transform