American Mathematical Society

My Account · My Cart · Customer Services · FAQ  
ams fellows
visual insight
spring 2015 sectional meetings
2015 prizes and awards
about the ams
Serving the Community
Mathematics Awareness
In the News
Events & Announcements
Publishing Highlights

The Scholarly Kitchen

by Robert M. Harington D. Phil.
The AMS Associate Executive Director writes about gender diversity in leadership roles in academic publishing.  Find out more at the Scholarly Kitchen.

Featured Publication

Quandles: An Introduction to the Algebra of Knots
Mohamed Elhamdadi and Sam Nelson
This book provides an accessible introduction to quandle theory for readers with a background in linear algebra.


Unity and Disunity and Other Mathematical Essays
Philip J. Davis
This book is written in a nontechnical fashion and contains observations on mathematics, its nature, its impacts on education and science and technology, its personalities and their philosophies.


Toric Topology
Victor M. Buchstaber and Taras E. Panov
This book is about toric topology and includes many open problems and is addressed to experts, graduate students, and young researchers ready to enter this beautiful new area.

Bulletin of the AMS

Bulletin of the AMS $L^p$ theory for outer measures and two themes of Lennart Carleson united
( view abstract )
$L^p$ theory for outer measures and two themes of Lennart Carleson united
We develop a theory of $ L^p$ spaces based on outer measures generated through coverings by distinguished sets. The theory includes as a special case the classical $ L^p$ theory on Euclidean spaces as well as some previously considered generalizations. The theory is a framework to describe aspects of singular integral theory, such as Carleson embedding theorems, paraproduct estimates, and $ T(1)$ theorems. It is particularly useful for generalizations of singular integral theory in time-frequency analysis, the latter originating in Carleson's investigation of convergence of Fourier series. We formulate and prove a generalized Carleson embedding theorem and give a relatively short reduction of the most basic $ L^p$ estimates for the bilinear Hilbert transform to this new Carleson embedding theorem.

Browse the archive 1891 - 2015.

Research Journals Spotlight