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The Bochner–Riesz Problem: An Old Approach Revisited
Peking Mathematical Journal 2025, 8(2): 201-270
Published: 20 February 2024
Abstract Collect

We show that the recent techniques developed to study the Fourier restriction problem apply equally well to the Bochner–Riesz problem. This is achieved via applying a pseudo-conformal transformation and a two-parameter induction-on-scales argument. As a consequence, we improve the Bochner–Riesz problem to the best known range of the Fourier restriction problem in all high dimensions.

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