Waves, Spheres, and Tubes A Selection of Fourier Restriction Problems, Methods, and Applications

Betsy Stovall

Type: Article

Publication Date: 2019-01-01

Citations: 6

Locations

Notices of the American Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	Outline of Fourier analysis : including problems with step-by-step solutions	1967	Hwei P. Hsu
+	Chapter Six. Scattering Problems: A Variety of Topics	2012
+	Fourier-based methods for specific problems	1998
+	Fourier-based methods for specific problems	2004
+	Solution of the scattering problems	1995
+	High-frequency scattering by smooth convex bodies	2011	Daan Huybrechs Andreas Asheim
+	Optimization Methods in Direct and Inverse Scattering	2006	А. Г. Рамм Semion Gutman
+	Functional Inverse Problems on Spheres: Theory, Algorithms and Applications	2020	Matthieu Simeoni
+	High frequency wave scattering problems, part II	2008	Andreas Asheim Daan Huybrechs
+	Chapter 19: Mathematical Methods to Solve Heat and Wave Problems	2018
+	Solution of the Cauchy problem. Methods and algorithms	2000	V. N. Kublanovskaya
+	Numerical methods in diffraction problems	1987	Т. Н. Галишникова A. S. Ilinskii
+	Chapter 6. Inverse spectral and scattering problems	2011
+	A high accuracy approximation for half - space problems with anisotropic scattering	2014	Iosr Journals H.F. Mashali M. H. Haggag
+ PDF Chat	Diffraction of Electromagnetic Waves	1948	W. Owen Tranter
+	Diffuse Waves for Materials NDE	1988	Richard L. Weaver
+	Theory and applications of scattering and inverse scattering problems	1991	Yiming Wang
+	Band-limited functions on a bounded spherical domain: the Slepian problem on the sphere	1999	A. Albertella Fernando Sansò Nico Sneeuw
+	Scattering and Radiation Computation with Spectral Methods	2016	Jianing Zhang
+	The non-linear problem of diffraction of waves by a bounded body	1981	A. L. Pavlov

Works That Cite This (6)

Action	Title	Year	Authors
+ PDF Chat	Tomography bounds for the Fourier extension operator and applications	2021	Jonathan Bennett Shohei Nakamura
+	A restriction estimate for polynomial surfaces with negative Gaussian curvatures	2020	Shaoming Guo Changkeun Oh
+	A restriction estimate for surfaces with negative Gaussian curvatures	2020	Shaoming Guo Changkeun Oh
+ PDF Chat	Sharp Restriction Theory	2024	Diogo Oliveira e Silva
+	Large sets without Fourier restriction theorems	2022	Constantin Bilz
+	The Tomas–Stein inequality under the effect of symmetries	2021	Rainer Mandel Diogo Oliveira e Silva

Works Cited by This (14)

Action	Title	Year	Authors
+	A note on Restriction of the Fourier Transform to Spheres	1989	William Beckner Anthony Carbery Stephen Semmes Fernando Soria
+ PDF Chat	Bounds on Oscillatory Integral Operators Based on Multilinear Estimates	2011	Jean Bourgain Larry Guth
+ PDF Chat	A bilinear approach to the restriction and Kakeya conjectures	1998	Terence Tao Ana Vargas Luis Vega
+ PDF Chat	On the multilinear restriction and Kakeya conjectures	2006	Jonathan Bennett Anthony Carbery Terence Tao
+ PDF Chat	A maximal restriction theorem and Lebesgue points of functions in $\mathcal F(L^p)$	2019	Detlef Müller Fulvio Ricci James Wright
+	A cone restriction estimate using polynomial partitioning	2017	Yumeng Ou Hong Wang
+	A restriction estimate using polynomial partitioning	2015	Larry Guth
+ PDF Chat	Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three	2016	Jean Bourgain Ciprian Demeter Larry Guth
+ PDF Chat	Extensions of the Stein–Tomas Theorem	2011	Jong-Guk Bak Andreas Seeger
+ PDF Chat	A sharp Schrödinger maximal estimate in $\mathbb{R}^2$	2017	Xiumin Du Larry Guth Xiaochun Li