Advances in Analysis: The Legacy of Elias M. Stein
Advances in Analysis: The Legacy of Elias M. Stein
Cite
Abstract
Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the Kunze–Stein phenomenon, the construction of new representations, the Stein interpolation theorem, the idea of a restriction theorem for the Fourier transform, and the theory of Hp Spaces in several variables. Through his great discoveries, through books that have set the highest standard for mathematical exposition, and through his influence on his many collaborators and students, Stein has changed mathematics. Drawing inspiration from Stein's contributions to harmonic analysis and related topics, this book gathers papers from internationally renowned mathematicians, many of whom have been Stein's students. The book also includes expository papers on Stein's work and its influence.
-
Front Matter
-
One
Selected Theorems by Eli Stein
Charles Fefferman
-
Two
Eli’s Impact: A Case Study
Charles Fefferman
-
Three
On Oscillatory Integral Operators in Higher Dimensions
Jean Bourgain
-
Four
Hölder Regularity for Generalized Master Equations with Rough Kernels
Luis Caffarelli andLuis Silvestre
-
Five
Extremizers of a Radon Transform Inequality
Michael Christ
-
Six
Should We Solve Plateau’s Problem Again?
Guy David
-
Seven
Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms
Alexandru D. Ionescu and others
-
Eight
Internal DLA for Cylinders
David Jerison and others
-
Nine
The Energy Critical Wave Equation in 3D
Carlos Kenig
-
Ten
On the Bounded L2 Curvature Conjecture
Sergiu Klainerman
-
Eleven
On Div-Curl for Higher Order
Loredana Lanzani andAndrew S. Raich
-
Twelve
Square Functions and Maximal Operators Associated with Radial Fourier Multipliers
Sanghyuk Lee and others
-
Thirteen
Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in R3, and Newton Polyhedra Detlef Müller
-
Fourteen
Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length
Camil Muscalu and others
-
Fifteen
Diagonal Estimates for Bergman Kernels in Monomial-Type Domains
Alexander Nagel andMalabika Pramanik
-
Sixteen
On the Singularities of the Pluricomplex Green’s Function
D. H. Phong andJacob Sturm
-
Seventeen
Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs
Fulvio Ricci
-
Eighteen
On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature
Christopher D. Sogge andSteve Zelditch
-
End Matter
Sign in
Get help with accessPersonal account
- Sign in with email/username & password
- Get email alerts
- Save searches
- Purchase content
- Activate your purchase/trial code
Institutional access
- Sign in through your institution
- Sign in with a library card Sign in with username/password Recommend to your librarian
Institutional account management
Sign in as administratorPurchase
Our books are available by subscription or purchase to libraries and institutions.
Purchasing informationMonth: | Total Views: |
---|---|
November 2022 | 2 |
April 2023 | 2 |
November 2023 | 1 |
December 2023 | 3 |
April 2024 | 1 |
Get help with access
Institutional access
Access to content on Oxford Academic is often provided through institutional subscriptions and purchases. If you are a member of an institution with an active account, you may be able to access content in one of the following ways:
IP based access
Typically, access is provided across an institutional network to a range of IP addresses. This authentication occurs automatically, and it is not possible to sign out of an IP authenticated account.
Sign in through your institution
Choose this option to get remote access when outside your institution. Shibboleth/Open Athens technology is used to provide single sign-on between your institution’s website and Oxford Academic.
If your institution is not listed or you cannot sign in to your institution’s website, please contact your librarian or administrator.
Sign in with a library card
Enter your library card number to sign in. If you cannot sign in, please contact your librarian.
Society Members
Society member access to a journal is achieved in one of the following ways:
Sign in through society site
Many societies offer single sign-on between the society website and Oxford Academic. If you see ‘Sign in through society site’ in the sign in pane within a journal:
If you do not have a society account or have forgotten your username or password, please contact your society.
Sign in using a personal account
Some societies use Oxford Academic personal accounts to provide access to their members. See below.
Personal account
A personal account can be used to get email alerts, save searches, purchase content, and activate subscriptions.
Some societies use Oxford Academic personal accounts to provide access to their members.
Viewing your signed in accounts
Click the account icon in the top right to:
Signed in but can't access content
Oxford Academic is home to a wide variety of products. The institutional subscription may not cover the content that you are trying to access. If you believe you should have access to that content, please contact your librarian.
Institutional account management
For librarians and administrators, your personal account also provides access to institutional account management. Here you will find options to view and activate subscriptions, manage institutional settings and access options, access usage statistics, and more.