2 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…