A point of view on Gowers uniformity norms

Bernard Host, Bryna Kra

Type: Preprint

Publication Date: 2010-01-01

Citations: 7

DOI: https://doi.org/10.48550/arxiv.1010.0414

View Publication

Locations

arXiv (Cornell University) - View
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A point of view on Gowers uniformity norms	2012	Bernard Host Bryna Kra
+	Quantitative inverse theory of Gowers uniformity norms	2020	Thomas F. Bloom
+	Quantitative inverse theory of Gowers uniformity norms	2020	Thomas F. Bloom
+	On the gowers norms of certain functions	2012	Ilya D. Shkredov
+	An inverse theorem for Gowers norms of trace functions over prime fields	2012	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	A Correspondence Principle for the Gowers Norms	2009	Henry Towsner
+	A Correspondence Principle for the Gowers Norms	2009	Henry Towsner
+	A Note on the Limit of Orlicz Norms	2023	OFS David Cruz-Uribe Scott Rodney
+ PDF Chat	Inverse theorem for certain directional Gowers uniformity norms	2023	Luka Milićević
+	Gowers norms for singular measures	2013	Marc Carnovale
+	Two-Weight Norm Inequalities for the Fourier Transform	1991	Jeremy M. Wilson
+	Normal Functions and Their Applications	2017	James A. Carlson Stefan Müller–Stach Chris Peters
+	An Inverse Theorem for Certain Directional Gowers Uniformity Norms	2021	Luka Milićević
+	A Note on Spectrally Dominant Norms	2000	Ángel Rodrı́guez Palacios
+	An Inverse Theorem for Certain Directional Gowers Uniformity Norms	2021	Luka Milićević
+	Norms	2013	Michel Willem
+	On Orlicz classes defined in terms of associated weight functions	2023	Gerhard Schindl
+	A note on sub-multiplicative norms	1972	Peter Lancaster
+	On generalizations of Gowers norms and their geometry	2009	Hamed Hatami
+ PDF Chat	Normed Orlicz function spaces which can be quasi-renormed with easily calculable quasinorms	2017	Paweł Foralewski Henryk Hudzik Radosław Kaczmarek Mirosłav Krbec

Works That Cite This (7)

Action	Title	Year	Authors
+ PDF Chat	Weighted multiple ergodic averages and correlation sequences	2016	Nikos Frantzikinakis Bernard Host
+	Some open problems on multiple ergodic averages	2011	Nikos Frantzikinakis
+ PDF Chat	Pointwise ergodic theorems for non-conventional bilinear polynomial averages	2022	Ben Krause Mariusz Mirek Terence Tao
+ PDF Chat	Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition	2013	Khodakhast Bibak
+	Anti-uniformity norms, anti-uniformity functions and their algebras on Euclidean spaces	2019	A. Martina Neuman
+	An Analytic Approach to Sparse Hypergraphs: Hypergraph Removal	2012	Henry Towsner
+ PDF Chat	Large values of the Gowers-Host-Kra seminorms	2012	Tanja Eisner Terence Tao

Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao
+	On higher order Fourier analysis	2012	Balázs Szegedy
+ PDF Chat	A Quantitative Ergodic Theory Proof of Szemerédi's Theorem	2006	Terence Tao
+ PDF Chat	Linear equations in primes	2010	Ben Green Terence Tao
+ PDF Chat	Szemerédi’s Lemma for the Analyst	2007	László Lovász Balázs Szegedy
+ PDF Chat	The primes contain arbitrarily long arithmetic progressions	2008	Benjamin Green Terence Tao
+ PDF Chat	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers
+ PDF Chat	Decompositions, approximate structure, transference, and the Hahn-Banach theorem	2010	W. T. Gowers
+ PDF Chat	AN INVERSE THEOREM FOR THE GOWERS<i>U</i><sup>4</sup>-NORM	2010	Ben Green Terence Tao Tamar Ziegler