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Beyond Canonical Decoupling

delete2026-01-31
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PRE
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C
Ciprian Demeter *
DOI:10.1007/s00041-025-10219-xdelete
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Abstract

Abstract

En 中文
We introduce two families of inequalities. Large ensemble decoupling is connected to the continuous restriction phenomenon. Tight decoupling is connected to the discrete Restriction conjecture for the sphere. Our investigation opens new grounds and answers some questions.
Keywords:
Exponential sums
Decoupling
Restriction conjecture

Journal

J
Journal of Fourier Analysis and Applications
IF:
1.2
Papers:
68
Citations:
0

Organization

I
indiana university system
Scholars:
4.0W
Papers: 3.5W
Citations: 38
Cited Papers

Cited Papers

Small cap decouplings
err2020-08-01
err0
PREAI
errDemeter,Ciprian; Guth,Larry; Wang,Hong
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Fourier Restriction, Decoupling, and Applications
err
IF0
err2019-12-12
err0
PREAI
errCiprian Demeter
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errShare
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The proof of the l2 Decoupling Conjecture
err2015-07-01
err269
errOAAI
errBourgain, Jean; Demeter, Ciprian
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err1993-01-01
err0
PREAI
errJean Bourgain
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On the multilinear restriction and Kakeya conjectures
err2006-01-01
err0
errOAAI
errJonathan Bennett; Anthony Carbery; Terence Tao
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