2 citations · 3 across the 5 of their papers we have counts for
5 papers
The Neumann Problem on Ellipsoids
Sheldon Axler, Peter J. Shin
The Neumann problem on an ellipsoid in R^n asks for a function harmonic inside the ellipsoid whose normal derivative is some specified function on the ellipsoid. We solve this prob…
Computing with Harmonic Functions
Sheldon Axler
This document is the manual for a free Mathematica package for computing with harmonic functions. This package allows the user to make calculations that would take a prohibitive am…
The Berezin Transform on the Toeplitz Algebra
Sheldon Axler, Dechao Zheng
This paper studies the boundary behavior of the Berezin transform on the C*-algebra generated by the analytic Toeplitz operators on the Bergman space.
Commutants of Analytic Toeplitz Operators on the Bergman Space
Sheldon Axler, Zeljko Cuckovic, N. V. Rao
In this note we show that if two Toeplitz operators on a Bergman space commute and the symbol of one of them is analytic and nonconstant, then the other one is also analytic.
Compact Operators via the Berezin Transform
Sheldon Axler, Dechao Zheng
In this paper we prove that if S equals a finite sum of finite products of Toeplitz operators on the Bergman space of the unit disk, then S is compact if and only if the Berezin tr…