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Featured Publication

Lars Ahlfors -- At the Summit of Mathematics
Oli Lehto
This book tells the story of the Finnish-American mathematician Lars Ahlfors (1907-1996) and concentrates on his contributions to the general development of complex analysis.


Art in the Life of Mathematicians
Edited by: Anna Kepes Szemerédi
Mathematicians reflect on the roles that mathematics and art have played in their lives.


Experimental Mathematics
V. I. Arnold
This book presents several open hypothesis resulting from experiments conducted by the author ranging from geometry and topology to combinatorics to algebra and number theory.

The Scholarly Kitchen

by Robert M. Harington D. Phil.
The American Mathematical Society recently began an organization-wide strategic planning effort to gain a sense of how mathematicians use online resources using a qualitative, ethnographic approach.  Find out more at the Scholarly Kitchen.

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.

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