Annals of Mathematics, Second Series, Vol. 176, No. 3 (November, 2012), pp. 1783-1826 (44 pages) We prove generalizations of Löwner's results on matrix monotone functions to several variables. We give ...

Let $f(z_1,\ldots,z_n)$ be an entire function of the $n(\geqq 2)$ complex variables $z_1,\ldots,z_n$ holomorphic for $|z_t| \leqq r_t, t = 1,\ldots n$. We have ...

Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

Joseph John Kohn, professor of mathematics, emeritus, a 1956 Ph.D. alumnus and a leader in the field of several complex variables, died on Sept. 13. He was 91. Born in Prague in May 1932, Kohn ...