# Elias M. Stein

Wolf Prize Laureate in Mathematics 1999

The Prize Committee for Mathematics has unanimously decided that the Wolf Prize for 1999 be jointly awarded to: Elias M. Stein and Laszlo Lovasz.

**Elias M. Stein**

**Princeton University**

**Princeton, New Jersey, USA**

“for his contributions to classical and “Euclidean” Fourier analysis and for his exceptional impact on a new generation of analysts through his eloquent teaching and writing.”

Professor Elias M. Stein has made fundamental contributions in mathematical analysis understood in a very broad sense. He developed (jointly with G. Weiss and C. Fefferman) the theory of Hardy spaces in several complex variables; in particular he emphasized the role of duality between the Hardy spaces and the BMO spaces introduced earlier by F. John and L. Nirenberg. In the representation theory of Lie groups he discovered , with R. Kunze, the so-called “Kunze-Stein” phenomenon, classical by now, on the existence of certain families of unitary representations of the group SL (2,R) . He also made a profound contribution to the problem of several complex variables. He is one of the creators of Euclidean Fourier Analysis, has shaped classical analysis by recognizing the role of singular integrals, Radon transforms and maximal operators obtained by integration on lower dimensional manifolds in Euclidean spaces. The clarity of his expository monographs and the contributions of his numerous outstanding students have had a deep impact on the development of the field.