Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 20, pp. 1-10.

Title: On a generalized reflection law for functions satisfying 
       the Helmholtz equation

Author: Dawit Aberra (Univ. of Arkansas, Fayetteville, USA) 
         
Abstract: 
We investigate a generalized point to point reflection law for the solutions of
the Helmholtz equation in two independent variables, obtaining results that
include some previously known results of Khavinson and Shapiro as special cases.
As a consequence, we obtain partial negative answers to the ``point to compact
set reflection'' conjecture suggested by Garabedian and others. 

Submitted October 9, 1998. Published June 4, 1999.
Math Subject Classification: 31A05, 31A35, 31B05
Key Words: Reflection law; Helmholtz operator.