Wasserstein distance, Fourier series and applications

Stefan Steinerberger

Type: Article

Publication Date: 2021-01-07

Citations: 19

DOI: https://doi.org/10.1007/s00605-020-01497-2

View Publication

Download PDF

Locations

Monatshefte für Mathematik - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Wasserstein Distance, Fourier Series and Applications	2018	Stefan Steinerberger
+	Wasserstein Distance, Fourier Series and Applications	2018	Stefan Steinerberger
+	Comparison between $W_2$ distance and $\dot{H}^{-1}$ norm, and localisation of Wasserstein distance	2011	Rémi Peyre
+	Comparison between $W_2$ distance and $\dot{H}^{-1}$ norm, and localisation of Wasserstein distance	2011	Rémi Peyre
+	The Wasserstein Distance W2 on P2(Rn)	2023	Francesco Maggi
+	W p -Spaces and Fourier Transform	1994	R. S. Pathak S. K. Upadhyay
+	Eigenfunctions and a lower bound on the Wasserstein distance	2021	Nicolò De Ponti Sara Farinelli
+ PDF Chat	The Fourier transform in weighted spaces	1989	H. P. Heinig
+	A short glimpse of the giant footprint of Fourier analysis and recent multilinear advances	2020	Loukas Grafakos
+ PDF Chat	Weighted Function Spaces and Dunkl Transform	2011	Chokri Abdelkefi
+	Distribution theory and Fourier analysis	1990	Lars Hörmander
+	Local Fourier spaces and weighted Beurling density	2020	Jean‐Pierre Gabardo
+	Weighted Fourier extension estimates and applications	2023	Xiumin Du
+	Fourier Integrals and Metric Geometry	1941	J. Von Neumann I. J. Schoenberg
+ PDF Chat	Fourier integrals and metric geometry	1941	J. v. Neumann I. J. Schoenberg
+	Fourier Integrals and Metric Geometry	1988	J. v. Neumann I. J. Schoenberg
+	Fourier Integrals and Metric Geometry	1988	J. v. Neumann I. J. Schoenberg
+	The Bargmann Transform and Windowed Fourier Localization	2006	Min-Lin Lo
+	Distributions and the Fourier Transform	2015	Mikko Salo
+	Distributions and the Fourier Transform	2001

Works That Cite This (19)

Action	Title	Year	Authors
+ PDF Chat	Empirical measures and random walks on compact spaces in the quadratic Wasserstein metric	2023	Bence Borda
+ PDF Chat	A Note on the Distributions of (log <i>n</i>)mod 1	2022	Arno Berger
+ PDF Chat	On combinatorial properties of greedy Wasserstein minimization	2023	Stefan Steinerberger
+ PDF Chat	Gaussian Approximation for Penalized Wasserstein Barycenters	2023	Nazar Buzun
+ PDF Chat	Wasserstein asymptotics for the empirical measure of fractional Brownian motion on a flat torus	2022	Martin Huesmann Francesco Mattesini Dario Trevisan
+	Circling the uniform distribution	2023	Arno Berger Ardalan Rahmatidehkordi
+ PDF Chat	Minimizing Optimal Transport for Functions with Fixed-Size Nodal Sets	2023	Qiang Du Amir Sagiv
+	Statistical inference on nonparametric regression model with approximation of Fourier series function: estimation and hypothesis testing	2024	Mustain Ramli I Nyoman Budiantara Vita Ratnasari
+ PDF Chat	Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances	2022	Nicolò De Ponti Sara Farinelli
+ PDF Chat	A method for parameter hypothesis testing in nonparametric regression with Fourier series approach	2023	Mustain Ramli I Nyoman Budiantara Vita Ratnasari

Works Cited by This (33)

Action	Title	Year	Authors
+	Roth’s Orthogonal Function Method in Discrepancy Theory and Some New Connections	2014	Dmitriy Bilyk
+ PDF Chat	Irregularities of distribution, VII	1972	Wolfgang Schmidt
+	Non-negative solutions of linear parabolic equations	1968	D. G. Aronson
+	On an Inequality of Erdős and Turán Concerning Uniform Distribution Modulo One, II	1994	Imre Z. Ruzsa
+ PDF Chat	Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)	1912	Hermann Weyl
+	A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem	2000	Jean‐David Benamou Yann Brenier
+ PDF Chat	Constantes d’Erdös–Turán	2005	Joël Rivat Gérald Tenenbaum
+ PDF Chat	On the small ball inequality in three dimensions	2008	Dmitriy Bilyk Michael T. Lacey
+	Uniqueness of the solution to the Vlasov–Poisson system with bounded density	2006	Grégoire Loeper
+	A New Proof of a Theorem on Rearrangements	1948	G. H. Hardy J. E. Littlewood