52 citations · 52 across the 3 of their papers we have counts for
3 papers
math.CA2001
An inverse problem for the double layer potential
P. Ebenfelt, D. Khavinson, H. S. Shapiro
We consider an inverse problem for the double layer potential which can be formulated, somewhat loosely, as follows. For which smoothly bounded domains D in Euclidian space does th…
math.FA1999
Best approximation in the mean by analytic and harmonic functions
Dmitry Khavinson, John E. McCarthy, Harold S. Shapiro
We consider the problem of finding the best harmonic or analytic approximant to a given function. We discuss when the best approximant is unique, and what regularity properties the…
gr-qc1994★ 52 cited
Decoherence produces coherent states: an explicit proof for harmonic chains
Max Tegmark, Harold S. Shapiro
We study the behavior of infinite systems of coupled harmonic oscillators as t->infinity, and generalize the Central Limit Theorem (CLT) to show that their reduced Wigner distribut…