The fundamental boundary value problem in the function theory of several complex variables is the âˆ‚-Neumann problem. The L2 existence theory on bounded pseudoconvex domains and the Câˆž regularity ofâ€¦ (More)

Generalizing a classical one-variable theorem of Bohr, we show that if an n-variable power series has modulus less than 1 in the unit polydisc, then the sum of the moduli of the terms is less than 1â€¦ (More)

The bounded domains of holomorphy in Cn whose Bergman kernel functions are zero-free form a nowhere dense subset (with respect to a variant of the Hausdorff distance) of all bounded domains ofâ€¦ (More)

This article discusses questions in one and several complex variables about the size of the sum of the moduli of the terms of the series expansion of a bounded holomorphic function. Although theâ€¦ (More)

The Szego projection preserves global smoothness in weakly pseudoconvex domains that are regular in the sense of Diederich, Fornaess, and Catlin. It preserves local smoothness near boundary points ofâ€¦ (More)

1430 NOTICES OF THE AMS VOLUME 44, NUMBER 11 The Football Player The air buzzed with anticipation as the football team crowded excitedly into the lecture hall. The countryâ€™s top halfback was about toâ€¦ (More)

This article discusses classical versions of the Schwarz lemma at the boundary of the unit disk in the complex plane. The exposition includes commentary on the history, the mathematics, and theâ€¦ (More)

T his is a companion to my article Mathematics for Teaching.1 In it Iâ€™ll set the context for the complex situation in the United States and go on to describe some of the ways in which teachers hereâ€¦ (More)

1. INTRODUCTION. Written in block capitals on lined paper, the letter bore a postmark from a Northeastern seaport. " I have a problem that I would like to solve, " the letter began, " butâ€¦ (More)