{"id":"openai-math/Bochner-Riesz-Multipliers-in-Three-Dimensions","pdf":"https://github.com/openai/math/blob/main/preprints/Bochner-Riesz-Multipliers-in-Three-Dimensions-September-24-2026/Bochner-Riesz-Multipliers-in-Three-Dimensions-September-24-2026.pdf","url":"https://github.com/openai/math/tree/main/preprints/Bochner-Riesz-Multipliers-in-Three-Dimensions-September-24-2026","tags":["harmonic-analysis","bochner-riesz","fourier-analysis"],"score":0,"title":"Bochner–Riesz multipliers in three dimensions","domain":"Real and complex analysis","family":"078","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.CA","summary":"We prove the three-dimensional Bochner–Riesz conjecture in its strict-order formulation. The main result is boundedness of the Bochner–Riesz multipliers on $`L^3(\\mathbb R^3)`$ for every positive order. Interpolation and duality then give the full conjectured strict range.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"The three-dimensional Bochner–Riesz conjecture"}