Recent Developments in Harmonic Analysis and Its Applications
Published on 18. March 2024
Book
Paperback/Softback
171 pages
978-1-4704-7140-8 (ISBN)
Description
This volume contains the proceedings of the virtual AMS Special Session on Harmonic Analysis, held from March 26-27, 2022. Harmonic analysis has gone through rapid developments in the past decade. New tools, including multilinear Kakeya inequalities, broad-narrow analysis, polynomial methods, decoupling inequalities, and refined Strichartz inequalities, are playing a crucial role in resolving problems that were previously considered out of reach. A large number of important works in connection with geometric measure theory, analytic number theory, partial differential equations, several complex variables, etc., have appeared in the last few years. This book collects some examples of this work.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
272 gr
ISBN-13
978-1-4704-7140-8 (9781470471408)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Shaoming Guo, The University of Wisconsin, Madison, WI.
Zane Kun Li, North Carolina State University, Raleigh, NC.
Brian Street, The University of Wisconsin, Madison, WI.
Zane Kun Li, North Carolina State University, Raleigh, NC.
Brian Street, The University of Wisconsin, Madison, WI.
Content
T. L. J. Harris, Length of sets under restricted families of projections onto lines
S. Gan, Y. Jing, and S. Wu, New bounds for Stein's square function in $\mathbb{R}^3$
Z. K. Li, A introduction to decoupling and harmonhic analysis over $\mathbb{Q}_p$
X. Du, Y. Ou, H. Wang, and R. Zhang, On a free Schrodinger solution studied by Barcelo-Bennett-Carbery-Ruiz-Vilela
N. A. Wagner, Some results for the Szego and Bergman projections on planar domains
T. C. Anderson, B. Hu, Y.-R. Liu, and A. Talmage, Bounds on 10th moments of $(x,x^3)$ for ellipsephic sets
B. Langowski, Oscillation inequalities for radon averages
H. Wang and L. Zhang, Refinements of the 2-dimensional Strichartz estimate on the maximum wave packet.
S. Gan, Y. Jing, and S. Wu, New bounds for Stein's square function in $\mathbb{R}^3$
Z. K. Li, A introduction to decoupling and harmonhic analysis over $\mathbb{Q}_p$
X. Du, Y. Ou, H. Wang, and R. Zhang, On a free Schrodinger solution studied by Barcelo-Bennett-Carbery-Ruiz-Vilela
N. A. Wagner, Some results for the Szego and Bergman projections on planar domains
T. C. Anderson, B. Hu, Y.-R. Liu, and A. Talmage, Bounds on 10th moments of $(x,x^3)$ for ellipsephic sets
B. Langowski, Oscillation inequalities for radon averages
H. Wang and L. Zhang, Refinements of the 2-dimensional Strichartz estimate on the maximum wave packet.