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Decoupling
inequalities for short generalized Dirichlet sequences
Yuqiu Fu, Larry Guth and Dominique Maldague |
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Vol. 16 (2023), No. 10, 2401–2464
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Abstract |
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We study decoupling theory for functions on with Fourier transform supported in a neighborhood of short Dirichlet sequences , as well as sequences with similar convexity properties. We utilize the wave packet structure of functions with frequency support near an arithmetic progression. |
Keywords
decoupling inequalities, wave packet decomposition,
Dirichlet polynomials, convex sequences
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Mathematical Subject Classification
Primary: 42A38, 42B20
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Milestones
Received: 20 July 2021
Revised: 25 April 2022
Accepted: 28 May 2022
Published: 11 December 2023
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Authors |
| Yuqiu Fu | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
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| Larry Guth | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
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| Dominique Maldague | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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